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Solving Multi-step Equations MATH · 9TH GRADE Name Date Solve for the variable. Show your work. 1 3x − 8 = 28 x = 2 9x − 6 = 75 x = 3 9x − 12 = -3 x = 4 5x − 12 = 43 x = 5 4x + 2 = 42 x = 6 6x + 4 = 52 x = 7 7x + 9 = 44 x = 8 5x − 8 = 2 x = 9 6x + 6 = 66 x = 10 2x − 9 = 5 x = www.littleactivity.com 9th Grade · Math
Inequalities MATH · 9TH GRADE Name Date Write <, > or = in each circle. 34 ◯ 43 → 34 < 43 1. 83 ◯ 72 2. 12 ◯ 48 3. 50 ◯ 44 4. 86 ◯ 59 5. 36 ◯ 71 6. 98 ◯ 57 7. 35 ◯ 43 8. 59 ◯ 19 9. 71 ◯ 98 10. 54 ◯ 62 11. 27 ◯ 78 12. 53 ◯ 49 13. 23 ◯ 97 14. 87 ◯ 34 15. 47 ◯ 22 www.littleactivity.com 9th Grade · Math
Slope MATH · 9TH GRADE Name Date Complete the table, plot the points, then draw the line. Slope x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Work out y for each x: y = 3x − 2 x = −2, −1, 0, 1, 2 y = ____, ____, ____, ____, ____ www.littleactivity.com 9th Grade · Math
Rate Of Change MATH · 9TH GRADE Name Date Complete the table. The ratio stays 4 : 6. Rate Of Change Quantity A Quantity B 4 8 12 12 18 16 20 30 24 What is the unit rate? Write the rule as an equation: www.littleactivity.com 9th Grade · Math
Writing Equations In Slope-intercept MATH · 9TH GRADE Name Date Solve for the variable. Show your work. 1 x − 15 = -4 x = 2 x + 6 = 20 x = 3 x + 5 = 13 x = 4 x − 2 = 10 x = 5 x + 15 = 29 x = 6 7x = 63 x = 7 2x = 16 x = 8 2x = 30 x = 9 4x = 4 x = 10 x + 10 = 19 x = www.littleactivity.com 9th Grade · Math
Point-slope Form MATH · 9TH GRADE Name Date Find the slope, then write the equation in y = mx + b. m = (y₂ − y₁) / (x₂ − x₁) 1 Through (-4, 4) and (8, 7) — find the slope and the equation 2 Through (7, -2) and (-6, -5) — find the slope and the equation 3 Through (-8, -5) and (-3, 1) — find the slope and the equation 4 Through (-6, -1) and (8, 7) — find the slope and the equation 5 Through (3, 3) and (0, -5) — find the slope and the equation 6 Through (6, 1) and (-6, 1) — find the slope and the equation 7 Through (-2, 2) and (-7, -2) — find the slope and the equation 8 Through (7, 7) and (-6, -7) — find the slope and the equation 9 Through (0, 6) and (-3, 5) — find the slope and the equation 10 Through (0, -5) and (1, 6) — find the slope and the equation www.littleactivity.com 9th Grade · Math
Graphing Linear Functions MATH · 9TH GRADE Name Date Read the bar graph. Answer the questions below. Favorite Fruit 0 2 4 6 8 10 7 Apple 2 Banana 8 Grapes 7 Pear 8 Plum Questions: 1 Which pet is the most popular? 2 How many students chose fish? 3 How many more chose dogs than cats? 4 How many students voted in total? www.littleactivity.com 9th Grade · Math
Function Notation MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Function Notation y = 5x + 7 Input (x) Working Output (y) 12 5×12 + 7 3 1 4 2 15 What happens to y when x goes up by 1? Find y when x = 39: www.littleactivity.com 9th Grade · Math
Domain MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Domain Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Range MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Range Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Systems By Substitution MATH · 9TH GRADE Name Date Solve for the variable. Show your work. 1 3x + 1y = 20; 2x − 4y = -10 x = 2 2x + 4y = 14; 4x − 2y = -2 x = 3 1x + 4y = 32; 4x − 5y = 2 x = 4 2x + 3y = 29; 4x − 2y = 18 x = 5 2x + 4y = 12; 5x − 2y = 6 x = 6 3x + 4y = 41; 1x − 3y = -21 x = www.littleactivity.com 9th Grade · Math
Elimination MATH · 9TH GRADE Name Date Solve for the variable. Show your work. 1 2x + 1y = 7; 5x − 2y = 4 x = 2 5x + 1y = 22; 5x − 3y = 14 x = 3 4x + 4y = 36; 1x − 3y = 5 x = 4 3x + 5y = 28; 3x − 5y = -22 x = 5 4x + 4y = 44; 5x − 1y = 31 x = 6 1x + 4y = 32; 5x − 4y = -8 x = www.littleactivity.com 9th Grade · Math
Modelling Word Problems With Linear Functions MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 There are 3 beads in one tray and 28 in another. How many altogether? 3 + 28 = ? 2 Team A scored 32 points. Team B scored 4. How many fewer for Team B? 32 − 4 = ? 3 There were 5 stickers on the table. Finn used 4. How many are left? 5 − 4 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Solving Multi-step Equations MATH · 9TH GRADE Name Date Read each problem. Two steps — show both. 1 Tom saved 4 blocks a week for 4 weeks, then used 4. How many now? (4 × 4) − 4 = ? 2 Iris saved 11 pencils a week for 8 weeks, then used 8. How many now? (11 × 8) − 8 = ? 3 Ava saved 5 buttons a week for 9 weeks, then used 13. How many now? (5 × 9) − 13 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Inequalities MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Team A scored 18 points. Team B scored 12. How many fewer for Team B? 18 − 12 = ? 2 Team A scored 18 points. Team B scored 17. How many fewer for Team B? 18 − 17 = ? 3 Team A scored 14 points. Team B scored 13. How many fewer for Team B? 14 − 13 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Slope MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 One shelf holds 22 cookies, another holds 14. What is the difference? 22 − 14 = ? 2 Sam has 5 blocks. 2 are given away. How many blocks are left? 5 − 2 = ? 3 A class of 8 groups shares 24 blocks evenly. How many per group? 24 ÷ 8 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Rate Of Change MATH · 9TH GRADE Name Date Read each problem. Work in dollars and cents. 1 Two tickets cost $6.50 each. How much for both? $6.50 and $5.99 2 A toy costs $10.50. Zoe pays with a $16 note. What change is due? $10.50 and $6.25 3 Two tickets cost $20.25 each. How much for both? $20.25 and $11.75 www.littleactivity.com 9th Grade · Math
Word Problem — Writing Equations In Slope-intercept MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Max has 27 shells. 23 are given away. How many shells are left? 27 − 23 = ? 2 Omar picked 16 crayons on Monday and 8 on Tuesday. How many in all? 16 + 8 = ? 3 There are 19 buttons in one basket and 12 in another. How many altogether? 19 + 12 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Point-slope Form MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Finn has 40 stickers and Iris has 26. How many more does Finn have? 40 − 26 = ? 2 Nina fills 6 shelfs with 3 stamps each. How many stamps in total? 6 × 3 = ? 3 Lily has 7 marbles. Leo gives Lily 8 more. How many marbles now? 7 + 8 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Graphing Linear Functions MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A class of 4 groups shares 40 cards evenly. How many per group? 40 ÷ 4 = ? 2 Team A scored 36 points. Team B scored 18. How many fewer for Team B? 36 − 18 = ? 3 There are 4 pencils in one basket and 14 in another. How many altogether? 4 + 14 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Function Notation MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Team A scored 40 points. Team B scored 24. How many fewer for Team B? 40 − 24 = ? 2 There are 18 blocks in one tray and 8 in another. How many altogether? 18 + 8 = ? 3 Team A scored 37 points. Team B scored 24. How many fewer for Team B? 37 − 24 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Domain MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Iris has 32 cards. 22 are given away. How many cards are left? 32 − 22 = ? 2 Ava picked 23 crayons on Monday and 14 on Tuesday. How many in all? 23 + 14 = ? 3 Tom has 8 stickers and Ben has 6. How many more does Tom have? 8 − 6 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Range MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A class of 6 groups shares 24 cookies evenly. How many per group? 24 ÷ 6 = ? 2 A shelf holds 23 stickers. 5 are taken out. How many remain? 23 − 5 = ? 3 Team A scored 38 points. Team B scored 24. How many fewer for Team B? 38 − 24 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Systems By Substitution MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A tray holds 36 stickers. 24 are taken out. How many remain? 36 − 24 = ? 2 Each pack holds 2 marbles. Lily buys 9 packs. How many marbles? 9 × 2 = ? 3 A box holds 22 marbles. 4 are taken out. How many remain? 22 − 4 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Elimination MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 There were 15 crayons on the table. Sara used 11. How many are left? 15 − 11 = ? 2 Omar has 11 coins. 1 are given away. How many coins are left? 11 − 1 = ? 3 12 marbles are packed into packets of 6. How many trays? 12 ÷ 6 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Modelling Word Problems With Linear Functions MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A class of 7 groups shares 21 seeds evenly. How many per group? 21 ÷ 7 = ? 2 A crate holds 35 crayons. 31 are taken out. How many remain? 35 − 31 = ? 3 8 coins are packed into baskets of 4. How many packets? 8 ÷ 4 = ? www.littleactivity.com 9th Grade · Math
Solving Multi-step Equations — Practice MATH · 9TH GRADE Name Date Solve for the variable. Show your work. 1 2x = 2 x = 2 9x = 126 x = 3 x + 11 = 24 x = 4 x − 4 = -3 x = 5 x − 11 = -6 x = 6 x + 4 = 17 x = 7 x + 5 = 16 x = 8 x + 14 = 20 x = 9 x − 3 = 5 x = 10 x − 5 = 6 x = www.littleactivity.com 9th Grade · Math
Inequalities — Practice MATH · 9TH GRADE Name Date Write <, > or = in each circle. 34 ◯ 43 → 34 < 43 1. 67 ◯ 40 2. 79 ◯ 33 3. 32 ◯ 67 4. 54 ◯ 32 5. 97 ◯ 64 6. 53 ◯ 69 7. 55 ◯ 79 8. 95 ◯ 33 9. 46 ◯ 96 10. 95 ◯ 36 11. 12 ◯ 36 12. 74 ◯ 81 13. 41 ◯ 65 14. 46 ◯ 89 15. 58 ◯ 49 www.littleactivity.com 9th Grade · Math
Slope — Practice MATH · 9TH GRADE Name Date Complete the table, plot the points, then draw the line. Practice x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Work out y for each x: y = -4x + 0 x = −2, −1, 0, 1, 2 y = ____, ____, ____, ____, ____ www.littleactivity.com 9th Grade · Math
Rate Of Change — Practice MATH · 9TH GRADE Name Date Complete the table. The ratio stays 9 : 5. Practice Quantity A Quantity B 9 18 10 27 15 36 45 54 30 What is the unit rate? Write the rule as an equation: www.littleactivity.com 9th Grade · Math
Writing Equations In Slope-intercept — Practice MATH · 9TH GRADE Name Date Solve for the variable. Show your work. 1 x + 4 = 8 x = 2 6x = 42 x = 3 x + 7 = 21 x = 4 x − 1 = 1 x = 5 x − 15 = -1 x = 6 x + 4 = 6 x = 7 x − 1 = 9 x = 8 x − 9 = -7 x = 9 x + 6 = 21 x = 10 x + 3 = 15 x = www.littleactivity.com 9th Grade · Math
Point-slope Form — Practice MATH · 9TH GRADE Name Date Find the slope, then write the equation in y = mx + b. m = (y₂ − y₁) / (x₂ − x₁) 1 Through (3, -2) and (-1, -6) — find the slope and the equation 2 Through (-1, -7) and (2, -3) — find the slope and the equation 3 Through (-5, -8) and (3, 3) — find the slope and the equation 4 Through (-7, 5) and (0, -2) — find the slope and the equation 5 Through (7, -2) and (-3, -5) — find the slope and the equation 6 Through (1, 2) and (-2, 5) — find the slope and the equation 7 Through (-6, 1) with slope -4 — write y = mx + b 8 Through (-3, -6) and (-2, 4) — find the slope and the equation 9 Through (5, 6) and (4, 5) — find the slope and the equation 10 Through (-3, 6) and (-6, 6) — find the slope and the equation www.littleactivity.com 9th Grade · Math
Graphing Linear Functions — Practice MATH · 9TH GRADE Name Date Read the bar graph. Answer the questions below. Books Read This Month 0 2 4 6 8 10 7 Week 1 4 Week 2 5 Week 3 4 Week 4 10 Week 5 Questions: 1 Which pet is the most popular? 2 How many students chose fish? 3 How many more chose dogs than cats? 4 How many students voted in total? www.littleactivity.com 9th Grade · Math
Function Notation — Practice MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Practice y = 3x + 3 Input (x) Working Output (y) 10 3×10 + 3 5 4 7 6 15 What happens to y when x goes up by 1? Find y when x = 26: www.littleactivity.com 9th Grade · Math
Domain — Practice MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Practice Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Multiplying Polynomials MATH · 9TH GRADE Name Date Simplify. Collect like terms in your answer. (2x + 3)(x − 4) = 2x² − 5x − 12 1 (5 + 3x) × (7x + 1x) 2 (6x + 2) × (6x² + 1x) 3 (3x − 5) × (7x − 7) 4 (3x² + 7x) × (5x² − 1x²) 5 (9x + 3x²) × (6 + 7x) 6 (9 + 7) × (5x − 5x²) 7 (4 − 6x²) × (5 − 2) 8 (3x² + 4) × (4x + 9x) 9 (7x − 1x²) × (8x² − 7x²) 10 (7 − 4x) × (7x² − 6x²) www.littleactivity.com 9th Grade · Math
Factoring Trinomials MATH · 9TH GRADE Name Date Factor each trinomial completely. x² + 5x + 6 = (x + 2)(x + 3) 1. x² + 2x − 15 2. x² − 13x + 42 3. x² − 11x + 18 4. x² − 13x + 36 5. x² + 14x + 45 6. x² + x − 72 7. x² + 4x − 45 8. x² − 5x − 24 9. x² − 3x − 10 10. x² + 17x + 72 11. x² − x − 72 12. x² + 7x − 8 www.littleactivity.com 9th Grade · Math
Difference Of Squares MATH · 9TH GRADE Name Date Factor each difference of squares. x² − 49 = (x + 7)(x − 7) 1. 49x² − 25 2. 49x² − 100 3. 64x² − 100 4. x² − 4 5. 25x² − 100 6. 16x² − 36 7. 81x² − 25 8. 81x² − 4 9. 4x² − 16 10. 4x² − 49 11. 9x² − 16 12. 16x² − 121 www.littleactivity.com 9th Grade · Math
Solving Quadratics By Factoring MATH · 9TH GRADE Name Date Solve with the quadratic formula. Show each substitution. x = (−b ± √(b² − 4ac)) / 2a 1. 3x² − 3x − 126 = 0 2. 2x² + 4x + 2 = 0 3. 3x² + 36x + 96 = 0 4. 2x² − 8x − 10 = 0 5. x² + 0x − 9 = 0 6. 3x² + 0x − 75 = 0 7. 3x² − 39x + 126 = 0 8. 2x² + 14x + 12 = 0 9. 2x² + 0x − 50 = 0 10. 2x² + 10x + 8 = 0 www.littleactivity.com 9th Grade · Math
Completing The Square MATH · 9TH GRADE Name Date Solve by completing the square. x² − 6x + 5 = 0 → (x − 3)² = 4 1. x² − 4x + 1 = 0 2. x² − 6x + 13 = 0 3. x² + 10x + 34 = 0 4. x² − 4x + 6 = 0 5. x² − 4x + 13 = 0 6. x² + 8x + 9 = 0 7. x² − 6x − 3 = 0 8. x² + 6x + 19 = 0 9. x² − 18x + 90 = 0 10. x² + 16x + 69 = 0 www.littleactivity.com 9th Grade · Math
Quadratic Formula MATH · 9TH GRADE Name Date Solve with the quadratic formula. Show each substitution. x = (−b ± √(b² − 4ac)) / 2a 1. 2x² − 10x + 12 = 0 2. 3x² − 12x + 9 = 0 3. 2x² + 4x − 6 = 0 4. x² + 3x − 18 = 0 5. 2x² + 2x − 40 = 0 6. 3x² + 12x − 36 = 0 7. 3x² + 3x − 168 = 0 8. x² + 6x + 9 = 0 9. 3x² + 36x + 105 = 0 10. 3x² + 12x − 63 = 0 www.littleactivity.com 9th Grade · Math
Discriminant MATH · 9TH GRADE Name Date Find the discriminant, then say how many real roots there are. x = (−b ± √(b² − 4ac)) / 2a 1. 2x² + 10x + 8 = 0 2. 2x² − 10x + 8 = 0 3. 3x² − 9x − 120 = 0 4. 2x² − 18x + 36 = 0 5. 3x² − 15x + 18 = 0 6. x² − 9x + 8 = 0 7. x² + 9x + 20 = 0 8. 3x² − 24x + 21 = 0 9. 3x² − 9x + 6 = 0 10. 2x² − 18x + 40 = 0 www.littleactivity.com 9th Grade · Math
Graphing Parabolas With Vertex MATH · 9TH GRADE Name Date Read the bar graph. Answer the questions below. How We Travel to School 0 2 4 6 8 10 10 Walk 10 Bus 8 Car 3 Bike 10 Train Questions: 1 Which pet is the most popular? 2 How many students chose fish? 3 How many more chose dogs than cats? 4 How many students voted in total? www.littleactivity.com 9th Grade · Math
Axis Of Symmetry MATH · 9TH GRADE Name Date Complete the other half to make each shape symmetrical. 1. 2. 3. 4. Draw the mirror image on the other side of the dotted line. www.littleactivity.com 9th Grade · Math Projectile Word Problems MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 6 pencils are packed into shelves of 2. How many packets? 6 ÷ 2 = ? 2 Jonah has 29 cookies and Max has 1. How many more does Jonah have? 29 − 1 = ? 3 There were 34 blocks on the table. Maya used 31. How many are left? 34 − 31 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Multiplying Polynomials MATH · 9TH GRADE Name Date Read each problem. Show the percent you calculated. 1 Jonah leaves a 75% tip on a $190 meal. How much is the tip? 75% of 190 = ? 2 Finn leaves a 50% tip on a $180 meal. How much is the tip? 50% of 180 = ? 3 Nina leaves a 50% tip on a $160 meal. How much is the tip? 50% of 160 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Factoring Trinomials MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Sara picked 6 balloons on Monday and 19 on Tuesday. How many in all? 6 + 19 = ? 2 Kai has 8 blocks and Ruby has 4. How many more does Kai have? 8 − 4 = ? 3 Leo has 21 beads. Finn gives Leo 10 more. How many beads now? 21 + 10 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Difference Of Squares MATH · 9TH GRADE Name Date Compare the amounts. Find the difference. 1 One shelf holds 5 stamps, another holds 1. What is the difference? 5 − 1 = ? 2 Iris has 32 stamps and Priya has 17. How many more does Iris have? 32 − 17 = ? 3 Ava has 25 stamps and Tom has 6. How many more does Ava have? 25 − 6 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Solving Quadratics By Factoring MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 12 crayons are packed into crates of 3. How many trays? 12 ÷ 3 = ? 2 A class of 5 groups shares 25 pencils evenly. How many per group? 25 ÷ 5 = ? 3 There are 11 balloons in one tray and 23 in another. How many altogether? 11 + 23 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Completing The Square MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Noah fills 8 crates with 6 shells each. How many shells in total? 8 × 6 = ? 2 Team A scored 33 points. Team B scored 8. How many fewer for Team B? 33 − 8 = ? 3 A shelf has 11 rows of 8 cards. How many cards altogether? 11 × 8 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Quadratic Formula MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 35 blocks are packed into baskets of 5. How many trays? 35 ÷ 5 = ? 2 There are 24 cards in one tray and 15 in another. How many altogether? 24 + 15 = ? 3 There are 16 apples in one packet and 4 in another. How many altogether? 16 + 4 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Discriminant MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 One shelf holds 35 beads, another holds 24. What is the difference? 35 − 24 = ? 2 Ella has 3 shells. Finn gives Ella 23 more. How many shells now? 3 + 23 = ? 3 A class of 7 groups shares 42 blocks evenly. How many per group? 42 ÷ 7 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Graphing Parabolas With Vertex MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 4 coins are packed into trays of 2. How many baskets? 4 ÷ 2 = ? 2 There were 31 cards on the table. Ruby used 11. How many are left? 31 − 11 = ? 3 Sam picked 5 cookies on Monday and 8 on Tuesday. How many in all? 5 + 8 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Axis Of Symmetry MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 99 coins are packed into packets of 9. How many shelves? 99 ÷ 9 = ? 2 Leo has 19 pencils. Noah gives Leo 5 more. How many pencils now? 19 + 5 = ? 3 A shelf has 8 rows of 3 apples. How many apples altogether? 8 × 3 = ? www.littleactivity.com 9th Grade · Math
Multiplying Polynomials — Practice MATH · 9TH GRADE Name Date Simplify. Collect like terms in your answer. (2x + 3)(x − 4) = 2x² − 5x − 12 1 (4 + 3x) × (8x − 3x) 2 (3 − 6x²) × (3x² + 3) 3 (5 − 6x²) × (2 + 1x) 4 (9x − 3x²) × (6x − 4) 5 (8x − 3x) × (7x − 4) 6 (1x² − 1x) × (7x² + 9x²) 7 (1x² + 8) × (9x² + 1) 8 (7x² − 7x) × (7x + 6x) 9 (8x + 8x) × (5 − 9) 10 (1x + 7x²) × (3 − 8x) www.littleactivity.com 9th Grade · Math
Factoring Trinomials — Practice MATH · 9TH GRADE Name Date Factor each trinomial completely. x² + 5x + 6 = (x + 2)(x + 3) 1. x² − 3x − 54 2. x² − x − 2 3. x² − 5x + 6 4. x² − 2x − 8 5. x² + 2x − 3 6. x² + 6x + 8 7. x² − 4x − 5 8. x² − 3x − 28 9. x² − 3x − 10 10. x² − 2x − 3 11. x² − 9 12. x² − 16 www.littleactivity.com 9th Grade · Math
Difference Of Squares — Practice MATH · 9TH GRADE Name Date Factor each difference of squares. x² − 49 = (x + 7)(x − 7) 1. 16x² − 64 2. 25x² − 49 3. 64x² − 100 4. 25x² − 81 5. 16x² − 36 6. 16x² − 144 7. 36x² − 100 8. 16x² − 9 9. x² − 25 10. 25x² − 100 11. x² − 4 12. x² − 64 www.littleactivity.com 9th Grade · Math
Solving Quadratics By Factoring — Practice MATH · 9TH GRADE Name Date Solve with the quadratic formula. Show each substitution. x = (−b ± √(b² − 4ac)) / 2a 1. 2x² − 6x + 4 = 0 2. 2x² − 4x − 16 = 0 3. 2x² − 14x + 12 = 0 4. 2x² + 8x − 24 = 0 5. x² − 5x + 6 = 0 6. 3x² + 15x − 72 = 0 7. 2x² + 24x + 72 = 0 8. 3x² − 21x + 36 = 0 9. 3x² − 21x − 24 = 0 10. 2x² − 12x − 32 = 0 www.littleactivity.com 9th Grade · Math
Completing The Square — Practice MATH · 9TH GRADE Name Date Solve by completing the square. x² − 6x + 5 = 0 → (x − 3)² = 4 1. x² − 12x + 48 = 0 2. x² − 16x + 70 = 0 3. x² + 6x + 11 = 0 4. x² − 18x + 88 = 0 5. x² + 2x + 3 = 0 6. x² − 4x + 2 = 0 7. x² + 12x + 47 = 0 8. x² − 4x + 9 = 0 9. x² − 6x + 14 = 0 10. x² − 8x + 22 = 0 www.littleactivity.com 9th Grade · Math
Quadratic Formula — Practice MATH · 9TH GRADE Name Date Solve with the quadratic formula. Show each substitution. x = (−b ± √(b² − 4ac)) / 2a 1. x² + 9x + 14 = 0 2. x² − 9x + 8 = 0 3. x² + 1x − 42 = 0 4. 3x² + 3x − 6 = 0 5. 3x² − 48x + 192 = 0 6. x² + 0x − 9 = 0 7. x² − 2x − 15 = 0 8. 2x² + 10x + 12 = 0 9. x² − 4x + 4 = 0 10. 3x² + 3x − 18 = 0 www.littleactivity.com 9th Grade · Math
Discriminant — Practice MATH · 9TH GRADE Name Date Find the discriminant, then say how many real roots there are. x = (−b ± √(b² − 4ac)) / 2a 1. 3x² + 6x − 144 = 0 2. x² + 9x + 20 = 0 3. 2x² + 16x + 14 = 0 4. x² − 1x − 2 = 0 5. x² − 1x − 12 = 0 6. x² − 6x − 16 = 0 7. x² − 6x − 7 = 0 8. x² − 1x − 30 = 0 9. x² − 10x + 21 = 0 10. 3x² − 12x + 9 = 0 www.littleactivity.com 9th Grade · Math
Graphing Parabolas With Vertex — Practice MATH · 9TH GRADE Name Date Read the bar graph. Answer the questions below. Books Read This Month 0 2 4 6 8 10 6 Week 1 8 Week 2 10 Week 3 9 Week 4 7 Week 5 Questions: 1 Which pet is the most popular? 2 How many students chose fish? 3 How many more chose dogs than cats? 4 How many students voted in total? www.littleactivity.com 9th Grade · Math
Axis Of Symmetry — Practice MATH · 9TH GRADE Name Date Complete the other half to make each shape symmetrical. 1. 2. 3. 4. Draw the mirror image on the other side of the dotted line. www.littleactivity.com 9th Grade · Math Multiplying Polynomials — Show Your Working MATH · 9TH GRADE Name Date Work each one out in the space. Show every step. 1 (4 + 8x²) × (1x + 4) answer 2 (6 + 5) × (5 − 6x²) answer 3 (5 + 6x) × (3x − 6x) answer 4 (4x² + 1) × (3x² − 8x²) answer www.littleactivity.com 9th Grade · Math
Factoring Trinomials — Show Your Working MATH · 9TH GRADE Name Date Work each one out in the space. Show every step. 1 x² − x − 2 answer 2 x² − 7x − 18 answer 3 x² − 49 answer 4 x² + 5x − 24 answer www.littleactivity.com 9th Grade · Math
Difference Of Squares — Show Your Working MATH · 9TH GRADE Name Date Work each one out in the space. Show every step. 1 36x² − 9 answer 2 36x² − 36 answer 3 x² − 4 answer 4 49x² − 9 answer www.littleactivity.com 9th Grade · Math
Solving Quadratics By Factoring — Show Your Working MATH · 9TH GRADE Name Date Work each one out in the space. Show every step. 1 2x² − 12x + 10 = 0 answer 2 3x² − 3x − 36 = 0 answer 3 2x² + 32x + 128 = 0 answer 4 x² + 2x − 48 = 0 answer www.littleactivity.com 9th Grade · Math
Completing The Square — Show Your Working MATH · 9TH GRADE Name Date Work each one out in the space. Show every step. 1 x² − 16x + 62 = 0 answer 2 x² − 6x + 4 = 0 answer 3 x² − 16x + 54 = 0 answer 4 x² − 2x − 1 = 0 answer www.littleactivity.com 9th Grade · Math
Quadratic Formula — Show Your Working MATH · 9TH GRADE Name Date Work each one out in the space. Show every step. 1 x² − 6x − 16 = 0 answer 2 3x² + 21x + 18 = 0 answer 3 x² + 0x − 4 = 0 answer 4 x² + 11x + 28 = 0 answer www.littleactivity.com 9th Grade · Math
Discriminant — Show Your Working MATH · 9TH GRADE Name Date Work each one out in the space. Show every step. 1 2x² + 16x + 32 = 0 answer 2 2x² + 10x − 48 = 0 answer 3 3x² − 3x − 168 = 0 answer 4 2x² + 0x − 18 = 0 answer www.littleactivity.com 9th Grade · Math
Graphing Parabolas With Vertex — Show Your Working MATH · 9TH GRADE Name Date Read the bar graph. Answer the questions below. Favorite Pets in Our Class 0 2 4 6 8 10 3 Cats 7 Dogs 10 Fish 10 Birds 4 Rabbits Questions: 1 Which pet is the most popular? 2 How many students chose fish? 3 How many more chose dogs than cats? 4 How many students voted in total? www.littleactivity.com 9th Grade · Math
Axis Of Symmetry — Show Your Working MATH · 9TH GRADE Name Date Complete the other half to make each shape symmetrical. 1. 2. 3. 4. Draw the mirror image on the other side of the dotted line. www.littleactivity.com 9th Grade · Math Word Problem — Geometry With Proof MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Each pack holds 7 stamps. Iris buys 5 packs. How many stamps? 5 × 7 = ? 2 There were 10 stickers on the table. Sara used 4. How many are left? 10 − 4 = ? 3 Nina has 17 marbles. Kai gives Nina 19 more. How many marbles now? 17 + 19 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Statistics MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Team A scored 17 points. Team B scored 12. How many fewer for Team B? 17 − 12 = ? 2 A crate holds 20 cookies. 17 are taken out. How many remain? 20 − 17 = ? 3 Team A scored 32 points. Team B scored 27. How many fewer for Team B? 32 − 27 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Data Analysis MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Ava fills 3 rows with 2 stamps each. How many stamps in total? 3 × 2 = ? 2 Ava shares 20 apples equally among 2 friends. How many each? 20 ÷ 2 = ? 3 There were 11 stickers on the table. Lily used 9. How many are left? 11 − 9 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Review MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Zoe has 25 shells. 17 are given away. How many shells are left? 25 − 17 = ? 2 A packet holds 19 coins. 10 are taken out. How many remain? 19 − 10 = ? 3 There are 2 shells in one tray and 15 in another. How many altogether? 2 + 15 = ? www.littleactivity.com 9th Grade · Math
Points MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Points Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Lines MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Lines Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Planes MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Planes Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Angle Relationships With Parallel Lines MATH · 9TH GRADE Name Date Measure each angle with a protractor and write it down. 1. 2. 3. 4. 5. 6. www.littleactivity.com 9th Grade · Math Transversals MATH · 9TH GRADE Name Date Measure each angle with a protractor and write it down. 1. 2. 3. 4. 5. 6. www.littleactivity.com 9th Grade · Math Two-column MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Two-column Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Paragraph Proofs MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Paragraph Proofs Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Triangle Congruence By SSS MATH · 9TH GRADE Name Date Measure each angle with a protractor and write it down. 1. 2. 3. 4. 5. 6. www.littleactivity.com 9th Grade · Math CPCTC MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails CPCTC Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Properties Of Quadrilaterals MATH · 9TH GRADE Name Date Name each quadrilateral. Tick the properties it has. 1. □ 4 equal sides □ 4 right angles □ 1 pair parallel 2. □ 4 equal sides □ 4 right angles □ 1 pair parallel 3. □ 4 equal sides □ 4 right angles □ 1 pair parallel 4. □ 4 equal sides □ 4 right angles □ 1 pair parallel 5. □ 4 equal sides □ 4 right angles □ 1 pair parallel 6. □ 4 equal sides □ 4 right angles □ 1 pair parallel www.littleactivity.com 9th Grade · Math Coordinate Proof MATH · 9TH GRADE Name Date Plot each point on the grid and label it. Coordinate Proof x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Plot these points: A (-5, 5) B (2, 4) C (3, -2) D (2, -5) Join A → B → C → D. What shape did you make? www.littleactivity.com 9th Grade · Math
Word Problem — Points MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Noah shares 33 apples equally among 3 friends. How many each? 33 ÷ 3 = ? 2 There were 40 apples on the table. Omar used 32. How many are left? 40 − 32 = ? 3 One shelf holds 7 shells, another holds 4. What is the difference? 7 − 4 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Lines MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Omar has 4 crayons. Sam gives Omar 12 more. How many crayons now? 4 + 12 = ? 2 A crate holds 31 buttons. 21 are taken out. How many remain? 31 − 21 = ? 3 Leo fills 9 rows with 6 coins each. How many coins in total? 9 × 6 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Planes MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Ella picked 3 blocks on Monday and 13 on Tuesday. How many in all? 3 + 13 = ? 2 Iris has 40 beads. 17 are given away. How many beads are left? 40 − 17 = ? 3 40 blocks are packed into bags of 4. How many boxes? 40 ÷ 4 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Angle Relationships With Parallel Lines MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Each pack holds 8 coins. Iris buys 10 packs. How many coins? 10 × 8 = ? 2 6 apples are packed into baskets of 3. How many baskets? 6 ÷ 3 = ? 3 One shelf holds 31 cards, another holds 3. What is the difference? 31 − 3 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Transversals MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A crate holds 9 stickers. 3 are taken out. How many remain? 9 − 3 = ? 2 Leo picked 9 stickers on Monday and 30 on Tuesday. How many in all? 9 + 30 = ? 3 A shelf has 9 rows of 6 stickers. How many stickers altogether? 9 × 6 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Two-column MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 One shelf holds 14 apples, another holds 3. What is the difference? 14 − 3 = ? 2 One shelf holds 7 crayons, another holds 6. What is the difference? 7 − 6 = ? 3 Ben fills 8 crates with 7 balloons each. How many balloons in total? 8 × 7 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Paragraph Proofs MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A class of 7 groups shares 21 buttons evenly. How many per group? 21 ÷ 7 = ? 2 Team A scored 8 points. Team B scored 2. How many fewer for Team B? 8 − 2 = ? 3 There are 12 coins in one row and 28 in another. How many altogether? 12 + 28 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Triangle Congruence By SSS MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Maya has 21 pencils and Iris has 4. How many more does Maya have? 21 − 4 = ? 2 A class of 9 groups shares 54 marbles evenly. How many per group? 54 ÷ 9 = ? 3 A row holds 24 coins. 3 are taken out. How many remain? 24 − 3 = ? www.littleactivity.com 9th Grade · Math
Word Problem — CPCTC MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 There are 21 shells in one basket and 12 in another. How many altogether? 21 + 12 = ? 2 A shelf has 9 rows of 8 stamps. How many stamps altogether? 9 × 8 = ? 3 Each pack holds 7 shells. Priya buys 12 packs. How many shells? 12 × 7 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Properties Of Quadrilaterals MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 36 buttons are packed into crates of 3. How many rows? 36 ÷ 3 = ? 2 Each pack holds 9 marbles. Lily buys 2 packs. How many marbles? 2 × 9 = ? 3 Team A scored 23 points. Team B scored 16. How many fewer for Team B? 23 − 16 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Coordinate Proof MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Ella shares 44 coins equally among 4 friends. How many each? 44 ÷ 4 = ? 2 A row holds 32 stamps. 11 are taken out. How many remain? 32 − 11 = ? 3 A shelf has 12 rows of 7 balloons. How many balloons altogether? 12 × 7 = ? www.littleactivity.com 9th Grade · Math
Angle Relationships With Parallel Lines — Practice MATH · 9TH GRADE Name Date Measure each angle with a protractor and write it down. 1. 2. 3. 4. 5. 6. www.littleactivity.com 9th Grade · Math Transversals — Practice MATH · 9TH GRADE Name Date Measure each angle with a protractor and write it down. 1. 2. 3. 4. 5. 6. www.littleactivity.com 9th Grade · Math Triangle Congruence By SSS — Practice MATH · 9TH GRADE Name Date Measure each angle with a protractor and write it down. 1. 2. 3. 4. 5. 6. www.littleactivity.com 9th Grade · Math Properties Of Quadrilaterals — Practice MATH · 9TH GRADE Name Date Name each quadrilateral. Tick the properties it has. 1. □ 4 equal sides □ 4 right angles □ 1 pair parallel 2. □ 4 equal sides □ 4 right angles □ 1 pair parallel 3. □ 4 equal sides □ 4 right angles □ 1 pair parallel 4. □ 4 equal sides □ 4 right angles □ 1 pair parallel 5. □ 4 equal sides □ 4 right angles □ 1 pair parallel 6. □ 4 equal sides □ 4 right angles □ 1 pair parallel www.littleactivity.com 9th Grade · Math Coordinate Proof — Practice MATH · 9TH GRADE Name Date Plot each point on the grid and label it. Practice x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Plot these points: A (2, -4) B (5, 4) C (4, -4) D (3, 4) Join A → B → C → D. What shape did you make? www.littleactivity.com 9th Grade · Math
Points — Show Your Working MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Show Your Working Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Ratio MATH · 9TH GRADE Name Date Complete the table. The ratio stays 6 : 3. Ratio Quantity A Quantity B 6 12 6 18 24 12 30 15 36 What is the unit rate? Write the rule as an equation: www.littleactivity.com 9th Grade · Math
Proportion MATH · 9TH GRADE Name Date Complete the table. The ratio stays 4 : 6. Proportion Quantity A Quantity B 4 8 12 18 16 24 20 30 24 What is the unit rate? Write the rule as an equation: www.littleactivity.com 9th Grade · Math
Similar Figures MATH · 9TH GRADE Name Date Draw the image after each transformation. List the new vertices. 1. Reflect across the x-axis New vertices: 2. Reflect across the y-axis New vertices: www.littleactivity.com 9th Grade · Math Scale Factor MATH · 9TH GRADE Name Date Complete the table. The ratio stays 2 : 2. Scale Factor Quantity A Quantity B 2 2 4 6 8 8 10 12 12 What is the unit rate? Write the rule as an equation: www.littleactivity.com 9th Grade · Math
Triangle Similarity By AA MATH · 9TH GRADE Name Date Measure each angle with a protractor and write it down. 1. 2. 3. 4. 5. 6. www.littleactivity.com 9th Grade · Math Geometric Mean MATH · 9TH GRADE Name Date For each data set, find the mean, median, mode and range. Geometric Mean 27, 23, 5, 27, 5 Mean Median Mode Range 15, 16, 16, 21, 1, 5 Mean Median Mode Range 28, 1, 28, 26, 20, 27 Mean Median Mode Range 14, 22, 5, 10, 10, 2, 30 Mean Median Mode Range www.littleactivity.com 9th Grade · Math
Pythagorean Theorem MATH · 9TH GRADE Name Date Use a² + b² = c². Round to one decimal place if needed. 3 4 ? 1. Find the hypotenuse 7 24 ? 2. Find the hypotenuse ? 12 15 3. Find the missing leg 5 12 ? 4. Find the hypotenuse www.littleactivity.com 9th Grade · Math Its Converse MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Its Converse Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Special Right Triangles MATH · 9TH GRADE Name Date Use a² + b² = c². Round to one decimal place if needed. 7 24 ? 1. Find the hypotenuse 8 15 ? 2. Find the hypotenuse ? 12 13 3. Find the missing leg 6 8 ? 4. Find the hypotenuse www.littleactivity.com 9th Grade · Math Right-triangle Trigonometry With Sine MATH · 9TH GRADE Name Date Give the exact value. Convert to radians as well. sin(30°) = ½, 30° = π/6 1. tan(315°) = ? 2. cos(150°) = ? 3. sin(45°) = ? 4. sin(120°) = ? 5. cos(135°) = ? 6. cos(270°) = ? 7. sin(150°) = ? 8. cos(240°) = ? 9. cos(30°) = ? 10. cos(180°) = ? 11. tan(135°) = ? 12. cos(300°) = ? www.littleactivity.com 9th Grade · Math
Cosine MATH · 9TH GRADE Name Date Give the exact value. Convert to radians as well. sin(30°) = ½, 30° = π/6 1. sin(120°) = ? 2. tan(270°) = ? 3. tan(135°) = ? 4. cos(150°) = ? 5. tan(330°) = ? 6. tan(180°) = ? 7. sin(150°) = ? 8. sin(90°) = ? 9. cos(315°) = ? 10. tan(120°) = ? 11. cos(30°) = ? 12. cos(210°) = ? www.littleactivity.com 9th Grade · Math
Tangent MATH · 9TH GRADE Name Date Give the exact value. Convert to radians as well. sin(30°) = ½, 30° = π/6 1. cos(45°) = ? 2. sin(60°) = ? 3. tan(270°) = ? 4. sin(150°) = ? 5. tan(120°) = ? 6. cos(315°) = ? 7. cos(150°) = ? 8. cos(225°) = ? 9. cos(120°) = ? 10. cos(180°) = ? 11. sin(225°) = ? 12. sin(270°) = ? www.littleactivity.com 9th Grade · Math
Word Problem — Ratio MATH · 9TH GRADE Name Date Read each problem. Set up the ratio, then solve. 1 The scale is 7 cm to 2 m. How many metres is 21 cm? 7 : 2 = 21 : ? 2 The scale is 4 cm to 9 m. How many metres is 20 cm? 4 : 9 = 20 : ? 3 Finn drives 490 miles in 7 hours. What is the speed per hour? 7 : 4 = 49 : ? www.littleactivity.com 9th Grade · Math
Word Problem — Proportion MATH · 9TH GRADE Name Date Read each problem. Set up the ratio, then solve. 1 The scale is 5 cm to 3 m. How many metres is 10 cm? 5 : 3 = 10 : ? 2 The scale is 5 cm to 4 m. How many metres is 10 cm? 5 : 4 = 10 : ? 3 The scale is 9 cm to 8 m. How many metres is 18 cm? 9 : 8 = 18 : ? www.littleactivity.com 9th Grade · Math
Word Problem — Similar Figures MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A box holds 39 stickers. 31 are taken out. How many remain? 39 − 31 = ? 2 Ella picked 2 pencils on Monday and 25 on Tuesday. How many in all? 2 + 25 = ? 3 Maya picked 18 stamps on Monday and 21 on Tuesday. How many in all? 18 + 21 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Scale Factor MATH · 9TH GRADE Name Date Read each problem. Set up the ratio, then solve. 1 A recipe uses 3 cups of flour to 9 cups of milk. How much milk for 24 cups of flour? 3 : 9 = 24 : ? 2 Jonah drives 350 miles in 5 hours. What is the speed per hour? 7 : 4 = 35 : ? 3 Noah drives 240 miles in 8 hours. What is the speed per hour? 3 : 8 = 24 : ? www.littleactivity.com 9th Grade · Math
Word Problem — Triangle Similarity By AA MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A class of 6 groups shares 24 blocks evenly. How many per group? 24 ÷ 6 = ? 2 There are 10 pencils in one shelf and 14 in another. How many altogether? 10 + 14 = ? 3 A class of 5 groups shares 40 coins evenly. How many per group? 40 ÷ 5 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Geometric Mean MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Max shares 42 marbles equally among 6 friends. How many each? 42 ÷ 6 = ? 2 Zoe picked 14 crayons on Monday and 6 on Tuesday. How many in all? 14 + 6 = ? 3 Jonah shares 4 cards equally among 2 friends. How many each? 4 ÷ 2 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Pythagorean Theorem MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Nina has 29 coins. 27 are given away. How many coins are left? 29 − 27 = ? 2 Sam fills 7 bags with 8 cards each. How many cards in total? 7 × 8 = ? 3 Ben fills 4 packets with 10 seeds each. How many seeds in total? 4 × 10 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Its Converse MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Priya fills 10 trays with 5 books each. How many books in total? 10 × 5 = ? 2 Ella has 17 marbles and Max has 11. How many more does Ella have? 17 − 11 = ? 3 Nina shares 45 cards equally among 5 friends. How many each? 45 ÷ 5 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Special Right Triangles MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 There were 35 cookies on the table. Jonah used 31. How many are left? 35 − 31 = ? 2 Leo has 15 seeds. Sara gives Leo 17 more. How many seeds now? 15 + 17 = ? 3 Ella picked 18 beads on Monday and 14 on Tuesday. How many in all? 18 + 14 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Right-triangle Trigonometry With Sine MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 One shelf holds 6 buttons, another holds 5. What is the difference? 6 − 5 = ? 2 Priya has 23 marbles. 1 are given away. How many marbles are left? 23 − 1 = ? 3 A shelf has 7 rows of 4 books. How many books altogether? 7 × 4 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Cosine MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A tray holds 19 crayons. 6 are taken out. How many remain? 19 − 6 = ? 2 Each pack holds 2 beads. Ella buys 10 packs. How many beads? 10 × 2 = ? 3 Each pack holds 6 stickers. Max buys 2 packs. How many stickers? 2 × 6 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Tangent MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Tom has 5 cookies. 1 are given away. How many cookies are left? 5 − 1 = ? 2 Each pack holds 6 stamps. Leo buys 3 packs. How many stamps? 3 × 6 = ? 3 Leo has 17 beads. Ruby gives Leo 19 more. How many beads now? 17 + 19 = ? www.littleactivity.com 9th Grade · Math
Ratio — Practice MATH · 9TH GRADE Name Date Complete the table. The ratio stays 6 : 5. Practice Quantity A Quantity B 6 12 18 15 24 20 30 25 36 What is the unit rate? Write the rule as an equation: www.littleactivity.com 9th Grade · Math
Proportion — Practice MATH · 9TH GRADE Name Date Complete the table. The ratio stays 8 : 9. Practice Quantity A Quantity B 8 16 24 27 32 40 45 48 54 What is the unit rate? Write the rule as an equation: www.littleactivity.com 9th Grade · Math
Similar Figures — Practice MATH · 9TH GRADE Name Date Draw the image after each transformation. List the new vertices. 1. Rotate 90° anticlockwise about the origin New vertices: 2. Translate 3 left and 3 down New vertices: www.littleactivity.com 9th Grade · Math Scale Factor — Practice MATH · 9TH GRADE Name Date Complete the table. The ratio stays 6 : 5. Practice Quantity A Quantity B 6 5 12 10 18 24 20 30 36 What is the unit rate? Write the rule as an equation: www.littleactivity.com 9th Grade · Math
Triangle Similarity By AA — Practice MATH · 9TH GRADE Name Date Measure each angle with a protractor and write it down. 1. 2. 3. 4. 5. 6. www.littleactivity.com 9th Grade · Math Geometric Mean — Practice MATH · 9TH GRADE Name Date For each data set, find the mean, median, mode and range. Practice 14, 27, 27, 9, 27 Mean Median Mode Range 10, 30, 2, 30, 30 Mean Median Mode Range 19, 25, 17, 17, 21, 3 Mean Median Mode Range 24, 24, 16, 9, 23 Mean Median Mode Range www.littleactivity.com 9th Grade · Math
Pythagorean Theorem — Practice MATH · 9TH GRADE Name Date Use a² + b² = c². Round to one decimal place if needed. 6 8 ? 1. Find the hypotenuse ? 12 13 2. Find the missing leg 9 12 ? 3. Find the hypotenuse 3 4 ? 4. Find the hypotenuse www.littleactivity.com 9th Grade · Math Special Right Triangles — Practice MATH · 9TH GRADE Name Date Use a² + b² = c². Round to one decimal place if needed. 6 8 ? 1. Find the hypotenuse ? 12 13 2. Find the missing leg 7 24 ? 3. Find the hypotenuse 3 4 ? 4. Find the hypotenuse www.littleactivity.com 9th Grade · Math Dot Plots MATH · 9TH GRADE Name Date Plot each point on the grid and label it. Dot Plots x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Plot these points: A (2, 5) B (-2, 5) C (-1, -4) D (5, -5) Join A → B → C → D. What shape did you make? www.littleactivity.com 9th Grade · Math
Histograms MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Histograms Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Box Plots MATH · 9TH GRADE Name Date Plot each point on the grid and label it. Box Plots x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Plot these points: A (-4, -3) B (4, -3) C (3, -2) D (-4, -3) Join A → B → C → D. What shape did you make? www.littleactivity.com 9th Grade · Math
Measures Of Centre MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Measures Of Centre y = 9x − 3 Input (x) Working Output (y) 15 9×15 − 3 6 5 7 8 9 What happens to y when x goes up by 1? Find y when x = 26: www.littleactivity.com 9th Grade · Math
Spread MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Spread y = 4x + 2 Input (x) Working Output (y) 6 4×6 + 2 8 7 2 4 15 What happens to y when x goes up by 1? Find y when x = 25: www.littleactivity.com 9th Grade · Math
Outliers MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Outliers y = 4x + 7 Input (x) Working Output (y) 15 4×15 + 7 2 9 6 3 12 What happens to y when x goes up by 1? Find y when x = 20: www.littleactivity.com 9th Grade · Math
Two-way Frequency Tables MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Two-way Frequency Tables y = 8x − 1 Input (x) Working Output (y) 9 8×9 − 1 8 12 7 6 15 What happens to y when x goes up by 1? Find y when x = 30: www.littleactivity.com 9th Grade · Math
Scatter Plots MATH · 9TH GRADE Name Date Plot each point on the grid and label it. Scatter Plots x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Plot these points: A (-4, 5) B (-1, -2) C (-2, 1) D (5, 3) Join A → B → C → D. What shape did you make? www.littleactivity.com 9th Grade · Math
Correlation Versus Causation MATH · 9TH GRADE Name Date Fill in all four boxes. The word goes in the middle. Definition in your own words In symbols or a diagram draw it Example one that works Non-example and why it fails Correlation Versus Causation Use it in a sentence about this topic: Check yourself: could you teach this from your own four boxes? www.littleactivity.com 9th Grade · Math
Reading Data In The News MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Reading Data In The News y = 3x + 4 Input (x) Working Output (y) 1 3×1 + 4 10 2 6 4 9 What happens to y when x goes up by 1? Find y when x = 36: www.littleactivity.com 9th Grade · Math
Word Problem — Dot Plots MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Omar has 31 stickers and Max has 5. How many more does Omar have? 31 − 5 = ? 2 Priya has 28 cards and Ben has 21. How many more does Priya have? 28 − 21 = ? 3 Lily has 35 cards. 7 are given away. How many cards are left? 35 − 7 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Histograms MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Each pack holds 2 buttons. Tom buys 9 packs. How many buttons? 9 × 2 = ? 2 40 crayons are packed into crates of 8. How many boxes? 40 ÷ 8 = ? 3 One shelf holds 23 beads, another holds 7. What is the difference? 23 − 7 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Box Plots MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Leo has 31 buttons and Ava has 22. How many more does Leo have? 31 − 22 = ? 2 Each pack holds 7 stickers. Leo buys 4 packs. How many stickers? 4 × 7 = ? 3 Ava picked 7 apples on Monday and 7 on Tuesday. How many in all? 7 + 7 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Measures Of Centre MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Team A scored 36 points. Team B scored 33. How many fewer for Team B? 36 − 33 = ? 2 Ruby has 19 marbles and Ruby has 7. How many more does Ruby have? 19 − 7 = ? 3 There are 8 cards in one shelf and 17 in another. How many altogether? 8 + 17 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Spread MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A shelf has 11 rows of 11 seeds. How many seeds altogether? 11 × 11 = ? 2 Jonah has 35 stickers and Priya has 13. How many more does Jonah have? 35 − 13 = ? 3 Priya has 26 blocks and Omar has 11. How many more does Priya have? 26 − 11 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Outliers MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 There were 20 buttons on the table. Maya used 1. How many are left? 20 − 1 = ? 2 One shelf holds 33 stickers, another holds 11. What is the difference? 33 − 11 = ? 3 Ruby picked 5 books on Monday and 15 on Tuesday. How many in all? 5 + 15 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Two-way Frequency Tables MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A class of 5 groups shares 45 seeds evenly. How many per group? 45 ÷ 5 = ? 2 There were 21 balloons on the table. Zoe used 12. How many are left? 21 − 12 = ? 3 Omar picked 13 cookies on Monday and 25 on Tuesday. How many in all? 13 + 25 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Scatter Plots MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 Maya has 20 apples and Maya has 8. How many more does Maya have? 20 − 8 = ? 2 Lily has 17 cards. 1 are given away. How many cards are left? 17 − 1 = ? 3 Kai has 21 books and Omar has 10. How many more does Kai have? 21 − 10 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Correlation Versus Causation MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 A packet holds 38 apples. 23 are taken out. How many remain? 38 − 23 = ? 2 There were 33 balloons on the table. Iris used 13. How many are left? 33 − 13 = ? 3 A tray holds 8 blocks. 7 are taken out. How many remain? 8 − 7 = ? www.littleactivity.com 9th Grade · Math
Word Problem — Reading Data In The News MATH · 9TH GRADE Name Date Read each problem. Show your work. 1 There were 39 blocks on the table. Priya used 38. How many are left? 39 − 38 = ? 2 There are 9 marbles in one bag and 30 in another. How many altogether? 9 + 30 = ? 3 A shelf has 9 rows of 5 buttons. How many buttons altogether? 9 × 5 = ? www.littleactivity.com 9th Grade · Math
Dot Plots — Practice MATH · 9TH GRADE Name Date Plot each point on the grid and label it. Practice x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Plot these points: A (-5, -3) B (-5, 5) C (-3, 4) D (1, 2) Join A → B → C → D. What shape did you make? www.littleactivity.com 9th Grade · Math
Box Plots — Practice MATH · 9TH GRADE Name Date Plot each point on the grid and label it. Practice x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Plot these points: A (-1, -5) B (2, -1) C (-3, -5) D (-3, -1) Join A → B → C → D. What shape did you make? www.littleactivity.com 9th Grade · Math
Measures Of Centre — Practice MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Practice y = 6x − 2 Input (x) Working Output (y) 2 6×2 − 2 15 9 12 1 4 What happens to y when x goes up by 1? Find y when x = 29: www.littleactivity.com 9th Grade · Math
Spread — Practice MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Practice y = 3x + 12 Input (x) Working Output (y) 1 3×1 + 12 4 10 15 9 8 What happens to y when x goes up by 1? Find y when x = 31: www.littleactivity.com 9th Grade · Math
Outliers — Practice MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Practice y = 9x − 1 Input (x) Working Output (y) 9 9×9 − 1 6 8 1 12 3 What happens to y when x goes up by 1? Find y when x = 35: www.littleactivity.com 9th Grade · Math
Two-way Frequency Tables — Practice MATH · 9TH GRADE Name Date Complete the table using the rule, then answer below. Practice y = 4x − 9 Input (x) Working Output (y) 8 4×8 − 9 7 1 5 10 15 What happens to y when x goes up by 1? Find y when x = 40: www.littleactivity.com 9th Grade · Math
Scatter Plots — Practice MATH · 9TH GRADE Name Date Plot each point on the grid and label it. Practice x y -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 Plot these points: A (-5, -5) B (4, 4) C (5, -3) D (1, -2) Join A → B → C → D. What shape did you make? www.littleactivity.com 9th Grade · Math
Equation and inequality fluency MATH · 9TH GRADE Name Date TAKE-HOME PRACTICE Math · 9th Grade 20 minutes WHAT THIS BUILDS Solves any linear equation or inequality, including fractions and variables on both sides, reliably and quickly. 1 THE TWO-MINUTE CHECK ASK "Solve (2x − 3)/4 = x/2 + 1 and −3(x + 2) ≥ 9." A SOLID ANSWER Both correct in a couple of minutes, with the inequality flipped. Not yet Getting there Solid 2 TEN MIXED, EVERY TIME You need: Paper, A set of mixed problems Do ten mixed problems rather than ten of the same type — mixing is what builds real fluency. Substitute every answer back into the original. Every time, no exceptions. Keep an error log: write down the type of each mistake, not just the correction. Once a week, redo the three problem types that appear most in the log. Time a set and track the time as well as the score. SAY THIS WHEN IT STALLS "What kind of mistake was that? Write the type down, not the right answer." Five problems, one type at a time, with the checking step. Literal equations — rearrange a formula for a named variable. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-9 www.littleactivity.com 9th Grade · Math
Functions, notation, domain and range MATH · 9TH GRADE Name Date TAKE-HOME PRACTICE Math · 9th Grade 25 minutes WHAT THIS BUILDS Uses function notation confidently and states domain and range from a graph or a context. 1 THE TWO-MINUTE CHECK ASK "f(x) = √(x − 3). Domain? If f models the height of a ball, what's the sensible domain?" A SOLID ANSWER x ≥ 3 algebraically, and a context-restricted answer for the ball. Not yet Getting there Solid 2 DOMAIN IN THE REAL WORLD You need: Paper, Real scenarios Take a real situation — ticket cost by number of people, water in a draining tank. Write the function, then ask what inputs actually make sense. Graph it and shade the part of the graph that's meaningful. Do a purely algebraic domain question — square roots and denominators. Compare: the algebra allows more than the situation does. SAY THIS WHEN IT STALLS "The algebra allows that value. Does the actual situation? Can you have −2 people?" Read domain and range off a given graph. Piecewise functions and their domains, and interpreting a discontinuity in context. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-9 www.littleactivity.com 9th Grade · Math
Modelling with linear functions MATH · 9TH GRADE Name Date TAKE-HOME PRACTICE Math · 9th Grade 30 minutes WHAT THIS BUILDS Builds a linear model from a real situation and interprets both parameters and the prediction. 1 THE TWO-MINUTE CHECK ASK "A tank has 200 L, draining 5 L/min. Write the model. When is it empty? Is 60 minutes sensible?" A SOLID ANSWER y = 200 − 5x, 40 minutes, and 60 rejected as impossible. Not yet Getting there Solid 2 MODEL SOMETHING REAL You need: Something measurable over time: a candle, a phone battery, water draining Measure at regular intervals and record the data. Plot it and decide whether a linear model fits. Find the equation from two points and state what each parameter means. Predict a future value, then wait and check it. Discuss where the model stops being valid and why. SAY THIS WHEN IT STALLS "What does the −5 mean, in tank language? And when does this model stop making sense?" Given data that's exactly linear, find and interpret the equation. Data that's nearly linear — fit a line, discuss residuals, and quantify the error. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-9 www.littleactivity.com 9th Grade · Math
Systems of equations in real problems MATH · 9TH GRADE Name Date TAKE-HOME PRACTICE Math · 9th Grade 25 minutes WHAT THIS BUILDS Sets up and solves systems from word problems, choosing an efficient method. 1 THE TWO-MINUTE CHECK ASK "Tickets: adults $12, children $8. 200 tickets sold, $2,000 taken. How many of each?" A SOLID ANSWER The system set up correctly, then solved: 100 each. Not yet Getting there Solid 2 DEFINE YOUR VARIABLES FIRST You need: Paper, Word problems from real situations Always start by writing what each variable stands for, in words, with units. Write one equation per constraint in the problem — usually a count and a total. Choose the method: substitution when a variable is already isolated, elimination otherwise. Check both equations with the answer, not just one. Sanity check against the story: can you sell −20 tickets? SAY THIS WHEN IT STALLS "Write down what x actually is, in words, with units. Half the errors die right there." Two-equation problems with the variables defined for them. Mixture and rate problems, and systems of inequalities with a feasible region. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-9 www.littleactivity.com 9th Grade · Math
Polynomials and factoring MATH · 9TH GRADE Name Date TAKE-HOME PRACTICE Math · 9th Grade 25 minutes WHAT THIS BUILDS Multiplies and factors polynomials, including differences of squares and trinomials. 1 THE TWO-MINUTE CHECK ASK "Factor x² − 9, x² + 7x + 12, and 3x² − 12x." A SOLID ANSWER All three, with the common factor taken out first in the last one. Not yet Getting there Solid 2 ALWAYS LOOK FOR THE COMMON FACTOR FIRST You need: Paper, Algebra tiles or drawn rectangles Fix the order: common factor, then pattern (difference of squares), then trinomial. Use an area rectangle to see why (x + 3)(x + 4) expands as it does. For trinomials, find two numbers multiplying to c and adding to b — systematically, listing factor pairs. Always check by expanding back. Do a mixed set so they have to choose the method, not just apply the one from the lesson. SAY THIS WHEN IT STALLS "Common factor first, always. Check by multiplying back out — that's free marks." Difference of squares and simple trinomials with a = 1. Trinomials with a leading coefficient, and factoring by grouping. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-9 www.littleactivity.com 9th Grade · Math
Quadratic equations and their graphs MATH · 9TH GRADE Name Date TAKE-HOME PRACTICE Math · 9th Grade 30 minutes WHAT THIS BUILDS Solves quadratics by factoring, completing the square and the formula, and connects roots to the graph. 1 THE TWO-MINUTE CHECK ASK "Solve x² − 5x + 6 = 0 and sketch it. Where do your solutions appear on the sketch?" A SOLID ANSWER x = 2 and 3, and both marked as x-intercepts. Not yet Getting there Solid 2 ROOTS ARE WHERE IT CROSSES You need: Graph paper, A graphing tool or app Solve a quadratic algebraically and note the roots. Graph it and mark where it crosses the x-axis. Same numbers. Try one with no real roots and see the parabola miss the axis entirely. Find the vertex and interpret it in a real context — maximum height, minimum cost. Model a real projectile with a quadratic and answer a question with it. SAY THIS WHEN IT STALLS "Your two answers — where are they on the picture? That's what solving actually means." Factorable quadratics with integer roots. Complete the square to find the vertex, and interpret the discriminant. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-9 www.littleactivity.com 9th Grade · Math
Exponential growth versus linear growth MATH · 9TH GRADE Name Date TAKE-HOME PRACTICE Math · 9th Grade 25 minutes WHAT THIS BUILDS Distinguishes constant difference from constant ratio, and models exponential situations. 1 THE TWO-MINUTE CHECK ASK "$100 at 10% a year, or $10 added per year — which is bigger after 30 years?" A SOLID ANSWER The exponential, by a lot, with the reason being multiplication rather than addition. Not yet Getting there Solid 2 FOLD AND DOUBLE You need: Paper, A calculator, A spreadsheet if possible Ask how thick paper would be if folded 42 times. Take their guess before calculating. Build a doubling table and watch it become absurd. It reaches the moon. Compare a linear and exponential table side by side over 30 steps. Graph both on the same axes and note where the exponential overtakes. Apply it to real compound interest or a savings plan. SAY THIS WHEN IT STALLS "Guess first, then calculate. Being badly wrong about this is the point of the exercise." Doubling tables only. Exponential decay, half-life, and solving for time. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-9 www.littleactivity.com 9th Grade · Math
Data, regression and interpreting a model MATH · 9TH GRADE Name Date TAKE-HOME PRACTICE Math · 9th Grade 30 minutes WHAT THIS BUILDS Fits a line to real data, interprets the parameters, and knows the limits of the fit. 1 THE TWO-MINUTE CHECK ASK "What does r = 0.8 tell you? What does it not tell you?" A SOLID ANSWER Strong positive association, and explicitly not causation, nor validity outside the data range. Not yet Getting there Solid 2 FIT IT AND BREAK IT You need: Real data set, A spreadsheet or calculator Collect or find a real paired data set of at least twenty points. Plot it, fit a line, and record the equation and r. Interpret the slope in real units. Predict a value inside the data range and one far outside it, and discuss which is defensible. Remove one outlier and refit — see how much the model moves. SAY THIS WHEN IT STALLS "That prediction is thirty years past your data. On what basis do you believe it?" Fit by eye and interpret the slope. Compare a linear and an exponential fit to the same data and argue for one. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-9 www.littleactivity.com 9th Grade · Math
