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Problem Solving and data Analysis

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Presentation on theme: "Problem Solving and data Analysis"— Presentation transcript:

1 Problem Solving and data Analysis
…and Additional Topics in Math

2 What’s covered?: problem solving and data analysis
Problem Solving and Data Analysis makes up 29% of the math section, which works out to 17 questions.  All 17 are in section 4 (the calculator math test). What’s covered?: problem solving and data analysis

3 What’s covered?: problem solving and data analysis
Use ratios, rates, proportional relationships, and scale drawings to solve single- and multistep problems.  Solve single- and multistep problems involving percentages.  Solve single- and multistep problems involving measurement quantities, units, and unit conversion.  Given a scatterplot, use linear, quadratic, or exponential models to describe how the variables are related.  Use the relationship between two variables to investigate key features of the graph.  Compare linear growth with exponential growth.  Use two-way tables to summarize categorical data and relative frequencies, and calculate conditional probability.  Make inferences about population parameters based on sample data.  Use statistics to investigate measures of center of data and analyze shape, center, and spread.  Evaluate reports to make inferences, justify conclusions, and determine appropriateness of data collection methods.  What’s covered?: problem solving and data analysis

4 What’s covered?: problem solving and data analysis
Additional Topics in Math makes up 10% of the math section, which works out to 6 questions.  There will be three in section 3 (the non-calculator math test) and three in section 4 (the calculator math test). What’s covered?: problem solving and data analysis

5 What’s covered?: Additional Topics in Math
Solve problems using volume formulas.  Use trigonometric ratios and the Pythagorean theorem  Add, subtract, multiply, divide, and simplify complex numbers. Convert between degrees and radians and use radians to determine arc lengths; use trigonometric functions of radian measure.  Apply theorems about circles to find arc lengths, angle measures, chord lengths, and areas of sectors.  Use concepts and theorems about congruence and similarity to solve problems about lines, angles, and triangles.  Use the relationship between similarity, right triangles, and trigonometric ratios; use the relationship between sine and cosine of complementary angles.  Create or use an equation in two variables to solve a problem about a circle in the coordinate plane.  What’s covered?: Additional Topics in Math

6 Example 1

7 Example 2

8 Example 3

9 Example 4

10 Example 5

11 Example 6

12 Example 7

13 Example 8

14 Example 9

15 Example 10

16 Example 11

17 Example 12

18 Example 13

19 Example 14

20 Example 15

21 Example 16

22 Example 17

23 Example 18

24 See the “Problem Solving and Data Analysis” post on the course site and follow the directions.
See also the “Math Skills Workshop” post for additional instruction and practice for the discrete skills for this section: Trig, etc. Data Analysis, etc. Geometry Tonight’s assignment


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