Clover Bar Junior High Grade 7 Year End Review KEY POINTS

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Cynthia Gregory
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1 Clover Bar Junior High Grade 7 Year End Review Co-Ordinates and Design (textbook Chapter 1) Cartesian Grid / Plotting Points / Transformations 1. Sketch a Cartesian Grid and label the axes, origin, and quadrants. 2. Plot the following points on your sketched graph A(2,4) B(4,0) C(-2,5) D(-5,-2) E(0,6) 3. On the attached piece of grid paper construct object WXYZ with W(2,4) X(1,2) Y(3,-1) Z(4,1) 4. Translate WXYZ to W X Y Z 4 left and 2 up. Identify the co-ordinates of the image. 5. Reflect WXYZ over the x-axis. Identify the co-ordinates of the image. 6. Rotate WXYZ 270º counter clockwise. Identify the co-ordinates of the image. Additional Review/Practice is in the textbook pg Decimal Numbers (textbook chapter 2) Reading and Writing Decimals / Estimating Solutions / Adding, Subtracting, Multiplying, and Dividing / Order of Operations 7. Write the number in words. 8. Write the number in words. 9. For the questions below, show an estimate and then calculate the solutions. a) b) c) d) e) 42.2 x 8.1 f) x 0.85 g) h) i) Calculate the following solutions using the Order of Operations process. (BEDMAS) a) 12 (4+3) 7 b) (18 11)(4 + 7) c) d) Additional Review/Practice is in the textbook pg

2 Constructions(textbook chapter 3) Parallel Lines / Perpendicular Lines / Protractor Use / Construct Angle Bisectors / Construct Perpendicular Bisectors 11. Explain the difference between right, obtuse, and acute angles. 12. Use a protractor to construct a 40 angle and a 125 angle. 13. Use the diagram below, and identify 2 lines, 2 line segments, a set of parallel line segments, a set of perpendicular lines. 14. Construct the perpendicular bisector of the given line using a compass and straightedge. 15. Measure the angle below and then construct the angle bisector using a compass and straightedge. What are the measures of the new angles? Additional Review/Practice is in the textbook pg. 116 #1-13

3 Decimals, Percents, Fractions (textbook chapter 4) Converting between the 3 Forms / Percent Calculations / Tax and Discount Calculations 16. Summarize the 6 conversion rules used for converting between decimals, fractions, and percents. KEY P0INTS 17. Calculate the percent values. a) 25% of 180 b) 10% of 38 c) 36% of 120 d) 180% of 32 e) A puppy weighed 12 kg. In a year it s weight increased by 40%. How much did the puppy gain? What is its current weight? f) Attendance at a concert was 625 people. The next concert had 20% fewer people. How many were at the second concert? 18. Covert the following values to the other two forms. a) 0.45 b) 28% c) 7 8 d) 275% e) 8.04 f) Joe bought a new bike that was priced at $ If he paid 5% GST, what amount of tax did he pay? 20. If the same bike was marked 15% off, what was the sale price of the bike before tax? Additional Review/Practice is in the textbook pg Probability (textbook chapter 5) Calculating Probability / Identifying ALL Outcomes for Multiple Events / Using List of Outcomes to Calculate Probability 21. If you are given a bag with the letters W-I-N-N-E-R in it, calculate the probability of drawing the following letters from it a) P(N) b) P(not R) c) P(a consonant) d) P(Z) 22. If you had a 3-section spinner (blue, red, green) and a regular 6-sided die use a chart or diagram to identify all the possible outcomes.

4 23. A bag had 5 marbles in it (blue, green, red, and 2 yellow). Identify all the possible outcomes and then calculate the probability of drawing the following (in any order ) a) P(a green and a red) b) P(2 yellows) c) P(2 of the same colors) Additional Review/Practice is in the textbook pg Fractions (textbook chapter 6 and 7) Divisibility Rules / Reducing Fractions / Mixed and Improper Fractions / Common Denominators / Adding and Subtracting Fractions and Mixed Numbers 24. Review the divisibility rules. (How do you know a number is divisible by 2, 3, 4, 5, 6, 8, 9, 10?) 25. Reduce the fractions to lowest terms. a) 12 b) 36 c) Convert the following fractions to improper or mixed form. a) 5 3 b) 29 c) 49 d) Calculate the solutions of the following questions. a) 4 3 b) 1 3 c) d) 3 2 e) 15 1 f) Additional Review/Practice is in the textbook pg and pg Areas and Perimeters/Circumferences (textbook chapter 3 and 8) Areas and Perimeter Formula for Triangles, Parallelograms, and Circles / Calculating Areas and Formulas 28. Calculate the perimeters and areas of the shapes below. (use correct units with your solutions) a) b) 12 cm 9 cm 32 cm 7 cm 22 cm 10 cm 16 cm

5 c) 34 cm d) 80 cm 42 cm 26 cm 35 cm 30 cm 29 cm e) f) 11 cm 60 cm Additional Review/Practice is in the textbook pg. 117 #14-17 and pg. 298 #1-18 Data Management (textbook chapters 8 and 12) Reading Circle Graphs / Constructing Circle Graphs / Measures of Central Tendency Time Spent Studying for Finals 5% 30% 40% Math Social Science Language Arts 25% Use the chart above to solve the following 2 questions. 29. If Amil studied a total of 30 hours leading up to the final exams, how many hours did he study science for? 30. Of the 30 hours, how many were spent studying math or social?

6 31. Rebecca wanted to create a circle graph to display the types of music she has on her ipod. Using the data below, identify how many degrees each section on the circle graph would need to be. Rock 22 songs Top songs Alternative 15 songs Country 8 songs Hip Hop 30 songs Other 20 songs 32. Over the course of a school year, each month students collected for a different charity. The amounts collected are given below. Calculate the mean, median, mode, and range for the amount collected each month. Sept - $450 Oct - $525 Nov - $480 Dec - $1350 Jan - $450 Feb - $580 Mar - $860 Apr - $450 May - $580 Jun - $ Which measure above is the worst measure for the set of data? Why? Additional Review/Practice is in the textbook pg. 299 #19-22 Integers (textbook chapter 9) Comparing & Ordering Integers / Number Line and Integers / Using Integer Tiles / Adding and Subtracting Integers 34. Using integer tiles, sketch the following a) +3 using more than 3 tiles b) an additive inverse c) Calculate the solutions to the following - a) b) c) d) e) f) g) h) i) Calculate the solutions to the following a) b) Additional Review/Practice is in the textbook pg

7 Expressions and Equations (textbook chapters 10 and 11) Creating Equations for Situations / Identifying Expression from a Table of Values / Terms coefficients, variables, constants / Solving and Checking Equations 37. Express the statements as expressions and identify what the variable represents. a) a cellphone charge is $12/month plus $5 for each hour of use b) A job pays a crew $5000. Each crewmember receives $250 of this amount 38. For each chart, write an expression that describes how x and y are related. a) x b) x y y Solve the equations below. Show a check to verify your answer for 2 of the questions. a) 6x = 432 b) x 64 = -27 c) 8 x = 23 d) 94 = x e) 3x 12 = 84 f) 65 = 3 x + 60 Additional Review/Practice is in the textbook pg and pg Working With Data (Chapter 12) Determine Central Tendency - Mean, Median, and Mode/Range/Outliers 40. What is the range of this set of data? 11, 8, 7, 10, 6, 5, 18, 13 a) 18 b) 8 c) 13 d) What are the outliers in this set of data? 43, 54, 62, 64, 0, 211, 45 a) 211 b) 0, 211 c) 64 d) There are no outliers 42. Two grade 7 students randomly ask the ages of the first eight people to pass them in the hallway. They record the following ages: 7, 11, 8, 8, 52, 9, 9, 10. What is the mean age? a) What is the mean age? b) What is the median age? c) What is the mode age? d) Which is the best way for the grade 7 students to report the central tendency of ages of random people in the hallway: mean, median or mode?

Dublin City Schools Mathematics Graded Course of Study GRADE 4

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