TAKS Mathematics Review

1. Comparing and Ordering Rational Numbers  

2. Comparing Fractions  

3. Scientific Notation When you use scientific notation, remember these words: power of 10 a number having 10 as scientific notation a way of its base writing very large or very small numbers as the product of a factor two or more numbers number ≥ 1 and < 10 and a power multiplied together of 10 6 X 3 X 8 = 144 4.3 X 10 ⁴ is in scientific notation.

4. Estimating Square Roots When you estimate square roots, remember these words: perfect square the product of an radical sign root symbol integer and itself radicand number under a radical square root one of two equal factors sign of a number √5 49 = 7 x 7

5. The Irrational Numbers ∏ and √2 When you work with the irrational numbers ∏ and √2, remember these words: irrational number a number that cannot radius half the diameter be written as a fraction using integers right angle an angle that measures 90 ° circumference, C the distance around a circle right triangle a triangle with a right angle C = ∏d hypotenuse the side of a right triangle diameter the length of a segment through that is opposite the right angle the center of a circle with endpoints on the circle legs the two shorter sides of a right triangle pi (∏) the ratio of the circumference of a circle to its diameter

6. Proportional and Non-Proportional Relationships When you work with proportional and non-proportional relationships, remember these words: ratio a comparison of two numbers cross product in a proportion, the product of the denominator proportion an equation setting two of one fraction and the ratios equal numerator of the other fraction If 3 = 12 , then the 4 16 cross products are 3 X 16 and 4 X 12

7. Multiplying and Dividing Fractions and Mixed Numbers When you multiply and divide fractions and mixed numbers, remember these words: mixed number a whole number and reciprocal two numbers with a fraction a product of 1 2 ⅓ is a mixed number that 3/8 and 8/3 are reciprocals equals 2 + ⅓. because 3/8 X 8/3 = 1. improper fraction a fraction where the numerator is greater than or equal to the denominator 5/5 and 7/5 are improper fractions.

8. Reasonable Solutions to Problems When you want to know whether solutions to problems are reasonable, remember these words: front-end estimation a way to compatible numbers two estimate sums by using the first numbers that are easy to divide digits of the numbers mentally

9. Problem Solving with Objective 1 TEKS To understand a problem, ask: What do you know? What do you want to find out? Is information missing?

10. Ordered Pairs in Linear Equations When you use ordered pairs in linear equations, remember these words: ordered pair numbers that can be equation a math sentence graphed as a point on a coordinate with an equal (=) sign plane

11. Applications of Percent Increase and Decrease When you apply percents, remember these words: regular price original price rate of discount percent off the regular price discount amount off the regular price sale price amount paid after subtracting the discount

12. Solving Equations When you solve equations, remember these words: variable a letter that represents a number -6a coefficient a number that is multiplied by a variable

13. Problem Solving with Objective 2 TEKS To work a simpler problem, you can use estimation.

14. Solving Problems on a Coordinate Plane When you locate points on a coordinate plane, remember these words: (3, -5) x-coordinate first number of an ordered pair y-coordinate second number of an ordered pair quadrant one of four parts of the coordinate plane formed by the x-axis and the y-axis

15. Reflections When you reflect a figure, remember these words: transformation a change in a figure’s image the figure formed by position or size a transformation reflection a flip of a figure over a line

16. Translations When you translate a figure, remember this word: translation a slide that moves a figure across the plane A translation is a type of transformation.

17. Dilations When you use dilations, remember these words: dilation a transformation that scale factor the factor used expands or shrinks a figure to to multiply coordinates in form a similar figure a dilation similar having the same shape but not necessarily the same size

18. Pythagorean Theorem When you use the Pythagorean Theorem, remember these words: Pythagorean Theorem a² + b² = c², where a and b are legs of a right triangle and c is the hypotenuse

19. Problem Solving with Objective 3 TEKS When you solve word problems, look for key words.

20. Surface Area and Volume of Solids When you work with surface area and volume of solids, remember these words: total surface area the sum of the volume the amount of space areas of all the faces a figure occupies lateral surface area the area of all faces that are not bases

21. Effects of Changing Dimensions To find the perimeter of a dilation, multiply the original perimeter by the scale factor. To find the area of a dilation, multiply the original area by the square of the scale factor.

22. Problem Solving with Objective 4 TEKS Two figures are similar if their corresponding angles are congruent (equal in measure) and their corresponding sides in proportion.

23. Mean, Median, Mode, and Range When you work with mean, median, mode, and range, remember these words: measures of central tendency mean, mode value that occurs the median, and mode most mean average, sum divided by the range the difference between number of terms the greatest and the least value median middle value or average of two middle values when numbers are arranged in order from least to greatest

24. Scatterplot Diagrams When you work with scatterplot diagrams, remember these words: scatterplot a graph of points that positive correlation where the show a relationship between two line of best fit slopes up sets of data line of best fit a line on a scatterplot that most of the points are close to negative correlation where the no correlation line of best fit slopes down

25. Bar Graphs and Line Graphs When you work with bar graphs and line graphs, remember these words: bar graph a graph that uses bars line graph a graph that uses to show data points and line segments or lines to show data

26. Histograms and Venn Diagrams When you work with histograms, remember these words: histogram a graph with bars frequency the number of items that show intervals in an interval

27. Circle Graphs When you work with circle graphs, remember this word: circle graph a circle whose parts represent all the data

28. Line Plots, Stem and Leaf Plots, and Box and Whisker Plots When you work with box and whisker plots, remember these words: box and whisker plot a graph that lower quartile median of the shows the least number, greatest lower half of a set of numbers number, median, and quartiles of a set of numbers upper quartile median of the upper half of a set of numbers maximum greatest number minimum least number

Line Plot Stem and Leaf Plot

29. Problem Solving with Objective 5 TEKS When you solve problems, remember these words: deductive reasoning making a probability a ratio that measures conclusion based on rules and the chance that an event will facts happen inductive reasoning using a pattern P(event)=Number of Favorable Outcomes to predict future outcomes and events Number of Possible Outcomes

30. Sampling When you work with sampling, remember these words: sample a smaller group that random sample a sample in represents the whole group which everyone has an equal chance of being chosen biased sample a sample that favors a group or outcome