Mathematics 8 Worksheet Revision Sheet PDF

Lesson Title: Investigate Subject: Mathematics 8 Transformations WORKSHEET No. 1 Score: Name: Date: 19 September 2023 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasu...

Lesson Title: Investigate Subject: Mathematics 8 Transformations WORKSHEET No. 1 Score: Name: Date: 19 September 2023 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks Write down the opposite value and absolute value of each of these integers. Tell how each figure was moved. Write flip, slide, or turn. L: Swim the Ocean (2 items x 1 point each) = 2 marks Multiple Choice: Highlight the letter of the correct answer. 1. Write a description of the coordinate rule below; (𝑥, 𝑦) → (𝑥 + 10, 𝑦 + 8) a. translation 10 units to the right and 8 units up b. translation 10 units to the left and 8 units down c. translation 10 units to the right and 8 units down d. translation 10 units to the left and 8 units up 2. Point 𝐴(−2, −10) is reflected over the 𝑥 − 𝑎𝑥𝑖𝑠. Write the coordinates of 𝐴′. a. (2, −10) c. (−2, −10) b. (2, 10) d. (−2, 10) IA: Grab the Treasure (1 item x 2 points each) = 2 marks Using the ‘Insert Line’ feature in Word, show the reflection of the given preimage across the 𝑦 − 𝑎𝑥𝑖𝑠. Lesson Title: Understand and Subject: Mathematics 8 Recognize Congruent Figures WORKSHEET No. 2 Score: Name: Date: 26 September 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks Use what you know about reflections to fill in the table below. Some items are done for you. L: Swim the Ocean (2 items x 1 point each) = 2 marks Triangle 𝐷𝐸𝐹 is rotated 90° clockwise about the origin. Type TRUE or FALSE for each statement. A. 𝐸′𝐹′ = 3 _______ B. 𝑚∠𝐹 ′ = 90° _______ IA: Grab the Treasure (2 item x 1 points each) = 2 marks What transformation is used to transform figure A into figure B? What transformation is used to transform figure B into figure C? Lesson Title: Understand and Subject: Mathematics 8 Recognize Congruent Figures WORKSHEET No. 3 Score: Name: Date: 03 October 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks Rotate the following points and write down the new coordinates after the given rotation (clockwise and about the origin). PRE-IMAGE ROTATE 180° ROTATE 90° (𝑥, 𝑦) (−𝑥, −𝑦) (𝑦, −𝑥) 𝑁 (2, 0) 𝐺 (4, 4) 𝐴 (5, −2) L: Swim the Ocean (2 items x 1 point each) = 2 marks Which series of transformations will map Figure A onto Figure B? Circle one transformation from each column or write your answers on the space provided. __________________________ then ________________________________ IA: Grab the Treasure (2 item x 1 points each) = 2 marks Specify the sequence of transformations that occurred. ∆𝐴𝐵𝐶 → ∆𝐴′𝐵′𝐶′ ∆𝐴′𝐵′𝐶′ → ∆𝐴"𝐵"𝐶" Lesson Title: Explore Dilations Subject: Mathematics 8 WORKSHEET No. 4 Score: Name: Date: 10 October 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks State whether a dilation with the given scale factor is a reduction or an enlargement. ITEM REDUCTION or ENLARGEMENT 1. 𝑘 = 3 1 2. 𝑘 = 3 5 3. 𝑘 = 4 4. 𝑘 = 0.93 5. 𝑘 = 1.000001 78 6. 𝑘 = 79 L: Swim the Ocean (1 item x 2 points each) = 2 marks Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor. IA: Grab the Treasure (1 item x 2 points each) = 2 marks The screen on your old television is 20 inches wide and 15 inches high. The screen on your new widescreen television is 16 inches wide and 9 inches high. Is the screen on your new TV a dilation of the screen on your old TV? Explain. correct answer 1 explanation 1 total 2 Lesson Title: Solve Multi-step Subject: Mathematics 8 Linear Equations WORKSHEET No. 5 Score: Name: Date: 17 October 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks For each question, decide whether the statement is True or False. True or False 1. 𝑥 + 5 = 12. The value of 𝑥 𝑖𝑠 7. 2. 3𝑥 = 18. The value of 𝑥 is 6. 3. 𝑥 − 4 = 10. The value of 𝑥 is 6. 𝑥 4. = 8. The value of 𝑥 is 7. 3 5. 2𝑥 = 14. The value of 𝑥 is 7. 6. 𝑥 + 9 = 20. The value of 𝑥 is 10.  L: Swim the Ocean (2 items x 1 point each) = 2 marks Read each question. TYPE the letter of the correct answer on the space provided. 1 7. Solve the given linear equation: 𝑥 + 6 = −8 3 a. 𝑥 = 42 c. 𝑥 = −42 b. 𝑥 = 6 d. 𝑥 = −6 8. Solve the given linear equation: 7𝑥 − 3𝑥 − 8 = 24 a. 𝑥 = 8 c. 𝑥 = 32 b. 𝑥 = 24 d. 𝑥 = −8 IA: Grab the Treasure (1 item x 2 points each) = 2 marks correct answer 1 Describe and correct the error in solving the equation. explanation 1 total 2 What is the error? _________________________________________ _________________________________________ _________________________________________ _________________________________________ _________________________________________ What is the correct way of solving the equation? Lesson Title: Examine Special Subject: Mathematics 8 Cases WORKSHEET No. 6 Score: Name: Date: 31 October 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks Solve for the variable in the following equations. Write your answer in the space provided. Solve the following: x= 1. 𝑥 + 4 = 10 2. 3𝑥 = 9. 3. 2𝑥 = 12 4. 𝑥+7=7 5. 𝑥−5=7 6. 5𝑥 = 25  L: Swim the Ocean (2 items x 1 point each) = 2 marks Read each question. TYPE the letter of the correct answer on the space provided. 7. Which of the following equations has one solution? a. 𝑥 + 2 = 𝑥 + 2 c. 4𝑥 = 4𝑥 b. 3𝑥 − 4 = 2𝑥 + 6 d. 𝑥 + 5 = 𝑥 + 5 8. Which equation has no solution? a. 𝑥 + 3 = 2𝑥 + 3 c. 𝑥 + 1 = 𝑥 − 1 b. 2𝑥 + 4 = 2𝑥 + 4 d. 4𝑥 = 2𝑥 + 8 IA: Grab the Treasure (1 item x 2 points each) = 2 marks correct answer 1 Solve the equation and identify whether they have working 1 one solution, no solution, or infinitely many solutions. total 2 Show your work. 2(𝑥 − 3) = 2𝑥 − 6 Show your work here: Solution: __________________________________ Type of solution (one, none, or infinitely many): Lesson Title: Explore Parallel Subject: Mathematics 8 Lines Cut by a Transversal WORKSHEET No. 7 Score: /10 Name: Date: 07 November 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks List one pair of angles from the two parallel lines cut by the transversal on the right. The first example is done for you. Answers: Alternate Interior Angles ∠𝟒 and ∠𝟔 1–2 Same-Side Interior Angles ∠ and ∠ 3–4 Alternate Exterior Angles ∠ and ∠ 5–6 Corresponding Angles ∠ and ∠ L: Swim the Ocean (2 items x 1 point each) = 2 marks Multiple Choice: HIGHLIGHT the letter of the correct answer. 7. Which of the following is the measure of ∠𝑃𝑄𝑅? a. 35° c. 56° b. 45° d. 65° 8. Which of the following is the measure of ∠2? a. 105° c. 78° b. 77° d. 75° IA: Grab the Treasure (2 items x 1 point each) = 2 marks Find the values of angle 3 and angle 4 in the figure below. Angle 3 = ______ Angle 4 = ______ Lesson Title: Derive y = mx Subject: Mathematics 8 WORKSHEET No. 8 Score: /10 Name: Date: 14 November 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (3 items x 2 points each) = 6 marks Match each pair of points in Column A with the correct slope in Column B. COLUMN A COLUMN B ______1. (0, 0) and (2, 4) A. 0 ______2. (0, 0) and (3, −6) B. −2 ______3. (0, 0) and (5, 0) C. 2 L: Swim the Ocean (2 items x 1 point each) = 2 marks Multiple Choice: HIGHLIGHT the letter of the correct answer. 4. Which of the following is the equation of the line shown? 1 a. 𝑦 = 𝑥 c. 𝑦 = 3𝑥 3 1 b. 𝑦 = − 𝑥 d. 𝑦 = −3𝑥 3 5. A line passes through the origin, (2, −4) and (4, −8). What is the slope of the line? a. −1 c. −3 b. −2 d. −4 IA: Grab the Treasure (2 items x 1 point each) = 2 marks For numbers 6 and 7, use the table of values on the right: 6. What is the slope? _______ 7. What is the equation of the line in the form 𝑦 = 𝑚𝑥? _______ Lesson Title: Investigate Subject: Mathematics Transformations QUIZ No. 1 Score: Name: Date: 22 September 2024 Subject: Mathematics Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks Tell how each figure was moved. Write flip, slide, or turn. L: Swim the Ocean (2 items x 1 point each) = 2 marks Read each question. Write the letter of the correct answer. 1. Write a description of the coordinate rule below; (𝑥, 𝑦) → (𝑥 + 3, 𝑦 − 2) a. translation 3 units to the right and 2 units up b. translation 3 units to the left and 2 units down c. translation 3 units to the right and 2 units down d. translation 3 units to the left and 2 units up 2. Point 𝐵(5, −2) is reflected over the 𝑦 − 𝑎𝑥𝑖𝑠. Write the coordinates of 𝐵′. a. (5, −2) c. (−5, −2) b. (5, 2) d. (−5, 2) IA: Grab the Treasure (4 items x 0.5 point each) = 2 marks Draw the image of 𝑆𝐴𝐽𝑇 by reflecting across the 𝑦 − 𝑎𝑥𝑖𝑠. Lesson Title: Understand and Subject: Mathematics 8 Recognize Congruent Figures QUIZ No. 2 Score: Name: Date: 06 October 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks Match each definition with the correct term from the word box below. Write the correct word next to the definition. Pre-image Translation Rotation Reflection Image Congruent 1. The result of a transformation. __________ 2. A figure before a transformation has taken place. __________ 3. A transformation of a figure that creates a mirror image, “flips,” over a line. __________ 4. A transformation that turns a figure about a fixed point through a given angle and a given direction, such as 90° clockwise. __________ 5. A transformation that slides each point of a figure the same distance in the same direction. __________ 6. Having the same size, shape and measure. ______________ L: Swim the Ocean (2 items x 1 point each) = 2 marks Read each question. Write the letter of the correct answer. 7. Which of the following is a reflection? a. c. b. d. 8. What will be the coordinates of 𝑀′ when you reflect 𝑀(−8, 4) over the 𝑥 − 𝑎𝑥𝑖𝑠? a. (−8, −4) c. (8, −4) b. (8, −4) d. (8, 4) IA: Grab the Treasure (2 items x 1 point each = 2 marks Quadrilaterals 𝐵𝐼𝐾𝐸 and 𝐺𝑂𝐿𝐹 are graphed on the set of axes at the right. Describe a sequence of transformations that maps quadrilateral 𝐵𝐼𝐾𝐸 onto quadrilateral 𝐺𝑂𝐿𝐹. Step 1: Reflect 𝐵𝐼𝐾𝐸 _____________________. Step 2: Translate 𝐵𝐼𝐾𝐸 ___________________. Lesson Title: Solve Multi-step Subject: Mathematics 8 Linear Equations QUIZ No. 3 Score: Name: Date: 20 October 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks For each question, decide whether the statement is True or False. True or False 1. 𝑥 + 3 = 12. The value of 𝑥 𝑖𝑠 9. 2. 5𝑥 = 15. The value of 𝑥 is 4. 3. 𝑥 − 10 = 10. The value of 𝑥 is 0. 𝑥 4. = 4. The value of 𝑥 is 8. 2 5. 5𝑥 = 100. The value of 𝑥 is 20. 6. 𝑥 + 1 = 2. The value of 𝑥 is 1.  L: Swim the Ocean (2 items x 1 point each) = 2 marks Read each question. TYPE the letter of the correct answer on the space provided. 1 7. Solve the given linear equation: 𝑥+2=6 4 a. 𝑥 = 42 c. 𝑥 = −42 b. 𝑥 = 16 d. 𝑥 = −16 8. Solve the given linear equation: 10𝑥 − 2𝑥 − 2 = 22 a. 𝑥 = 1 c. 𝑥 = 3 b. 𝑥 = 2 d. 𝑥 = 4 IA: Grab the Treasure (1 item x 2 points each) = 2 marks correct answer 1 Describe and correct the error in solving the equation. explanation 1 total 2 What is the error? _________________________________________ _________________________________________ _________________________________________ _________________________________________ _________________________________________ What is the correct way of solving the equation? Lesson Title: Develop Angle Subject: Mathematics 8 Relationships for Triangles QUIZ No. 4 Score: Name: Date: 03 November 2024 Subject: Mathematics 8 Teacher: Mr. Kristoffer Instructions: We are on a mission to find the treasure. There are three levels to reach it. Keep on leveling up as much as you can. A: Climb the Mountain (6 items x 1 point each) = 6 marks Instructions: Match each theorem or property on the left with the correct statement on the right by writing the letter of the correct match on the space provided. Group A Group B _____1. Triangle Sum Theorem A. Any angle inside a triangle that isn’t an exterior angle. _____2. Exterior Angle Theorem B. An exterior angle is equal to the sum of the two non- adjacent interior angles. _____3. Interior Angle of a Triangle C. The sum of the measures of the angles inside a triangle is always 180°. Instructions: Write the correct answer in the blank space provided. 4. The sum of the three interior angles in any triangle is always ________ degrees. 5. If an exterior angle measures 140°, then the sum of the two opposite interior angles is ________ degrees. 6. In a triangle, if two angles measure 50° and 80°, the third angle measures ________ degrees. L: Swim the Ocean (2 items x 1 point each) = 2 marks Read each question. ENCIRCLE the letter of the correct answer. 7. If one angle of a triangle is 70° and another angle is 60°, what is the measure of the third angle? a. 50° c. 70° b. 60° d. 80° 8. A triangle has an exterior angle measuring 120°. What is the sum of the two opposite interior angles? a. 60° c. 120° b. 100° d. 180° IA: Grab the Treasure (2 items x 1 point each) = 2 marks Instructions: Use the diagrams to answer the questions. Identify the measure of angle 𝑥 in the diagram at right, based on the Triangle Sum Theorem. In the diagram at right, if the exterior angle measures 118° and one of the opposite interior angles is a right angle, find the measure of the other opposite interior angle.