1. Vocabulary STAAR

2. REMEMBER Remember to use CUBES Remember to use CUBES Remember to use your STRATEGIES Remember to use your STRATEGIES example: (make a table, make a list, draw a picture, work backwards, think logical reason, act it out) example: (make a table, make a list, draw a picture, work backwards, think logical reason, act it out)

3. REMEMBER Remember the answer choices tells you want to do Remember the answer choices tells you want to do Read the problem twice. Read the question twice. Read the problem twice. Read the question twice. Remember you are answering the question. Remember you are answering the question.

4. Remember Half means divide by 2 One-third means divide by 3 One-fourth means divide by 4 Be careful of numbers written in words Example: two (2), twenty-five (25) John and five (5) friends means 6 people

5. Remember 33% does not equal 33-1/3% 66% does not equal 66-2/3%

6. Fraction/Decimal/Percent Remember think equivalent Remember think equivalent When you see a fraction at any time, think of its decimal, and its percent When you see a fraction at any time, think of its decimal, and its percent Example: 1/8---.125-----12.5% Example: 1/8---.125-----12.5% 1/3----.3333------33 1/3% 1/3----.3333------33 1/3% 2/3-----.6666-----66 2/3% 2/3-----.6666-----66 2/3% 1 whole equals 100% 1 whole equals 100% 2 whole equals 200% 2 whole equals 200%

7. Fraction/Decimal/Percent When you see a combination of fraction, decimal, percent in a table: When you see a combination of fraction, decimal, percent in a table: (1) Look at the answer choices….this will tell you if to convert the problem in the table into all fractions, decimals, or percents (1) Look at the answer choices….this will tell you if to convert the problem in the table into all fractions, decimals, or percents Be careful of least to greatest or greatest to least (circle this very dark so you won’t miss it) Be careful of least to greatest or greatest to least (circle this very dark so you won’t miss it)

8. Fraction/Decimal/Percent Watch out for the “NOT” in the question Watch out for the “NOT” in the question 5/8 is found between which pair 5/8 is found between which pair Note: 5/8 must be between (fall in the middle) in each pair (not equal to) Note: 5/8 must be between (fall in the middle) in each pair (not equal to) Note: this 5/8 can be a decimal or percent but it is done the same way Note: this 5/8 can be a decimal or percent but it is done the same way

9. REMEMBER PERCENT think PROPORTION PERCENT think PROPORTION RATIO think FRACTION then PROPORTION RATIO think FRACTION then PROPORTION “OF” SOMETHING MEANS MULTIPLY “OF” SOMETHING MEANS MULTIPLY “AT this rate,….THINK PROPORTION “AT this rate,….THINK PROPORTION AT the same rate….THINK PROPORTION AT the same rate….THINK PROPORTION Per something….think unit rate (for one) Per something….think unit rate (for one)

10. Calculate sale price Multiply by a decimal, fraction, or percent Multiply by a decimal, fraction, or percent

11. Model equation 3x + 2 = 17 First step: add or subtract on both sides First step: add or subtract on both sides Second step: multiply or divide on both sides Second step: multiply or divide on both sides Note: do the opposite operation from the equation given Note: do the opposite operation from the equation given

12. Model equation xxxxx 111 = xxx 1111111 I will cross out x on left with x on right until there are no more I will cross out x on left with x on right until there are no more I will cross out 1 on left with 1 on right until there are no more I will cross out 1 on left with 1 on right until there are no more The x that are left on the left side and the 1 that are left on right side group x and 1 together equally (as a pair) The x that are left on the left side and the 1 that are left on right side group x and 1 together equally (as a pair) The answer is how many 1’s are paired with x in each group The answer is how many 1’s are paired with x in each group

13. Model equation using x’s or +, - If there are positive and negatives on both sides of the equal sign: If there are positive and negatives on both sides of the equal sign: You can cross out one on the left then one on the right continue the pattern until you can not match a positive with a negative You can cross out one on the left then one on the right continue the pattern until you can not match a positive with a negative Whatever is left is your answer Whatever is left is your answer

14. Model integer addition +++++++----- write an expression You will write what you see You will write what you see Example: if you see 7 positives and 5 negatives, you will make zero pairs and whatever is left over is your equal to Example: if you see 7 positives and 5 negatives, you will make zero pairs and whatever is left over is your equal to Answer: 7 + (-5) = 2 Answer: 7 + (-5) = 2

15. Model equation If confusing, then guess and check If confusing, then guess and check Substitute each choice and solve Substitute each choice and solve

16. Equation match situation As you read the choices write the operation for each situation As you read the choices write the operation for each situation

17. Order of operation Parenthesis or [ ] Parenthesis or [ ] Exponent Exponent Multiply/divide whichever one comes first from left to right Multiply/divide whichever one comes first from left to right Add/subtract whichever one comes first from left to right Add/subtract whichever one comes first from left to right Parenthesis or [ ] means to multiply Parenthesis or [ ] means to multiply

18. INTEGERS + x + = + + x + = + - x - = + - x - = + + x - = - + x - = - - x + = - - x + = - -(-6) = +6 -(-6) = +6 -(7) = -7 -(7) = -7 Absolute value | -3 | is always + 3 Absolute value | -3 | is always + 3 Absolute value -| -3 |is always - 3 Absolute value -| -3 |is always - 3

19. Integers vocabulary Withdrawal means negative Withdrawal means negative Deposit means positive Deposit means positive Cancellation means negative Cancellation means negative Subscribe means positive Subscribe means positive Gain means positive Gain means positive Loss means negative Loss means negative Debt means negative Debt means negative Credit means negative Credit means negative Profit means positive Profit means positive

20. Integers vocabulary Elevation means positive Elevation means positive Ascending means positive Ascending means positive Descending means negative Descending means negative Below sea level means negative Below sea level means negative Above sea level means positive Above sea level means positive At the surface means zero At the surface means zero

21. Integers Temperature problems----draw a vertical number line Temperature problems----draw a vertical number line Arrow pointing up means positive Arrow pointing up means positive Arrow pointing down means negative Arrow pointing down means negative

22. Integers Remember----move left means negative; arrow pointing left; numbers getting smaller Remember----move left means negative; arrow pointing left; numbers getting smaller Remember----move right means positive; arrow pointing right; numbers getting bigger Remember----move right means positive; arrow pointing right; numbers getting bigger Remember----zero is neither positive nor negative Remember----zero is neither positive nor negative

23. integers: positive and negative numbers integers: positive and negative numbers absolute value: a number’s distance from “0” on a number line; always positive absolute value: a number’s distance from “0” on a number line; always positive proportion - An equation that states that two ratios are equivalent. proportion - An equation that states that two ratios are equivalent.

24. Key words for Multiplication of …..something of …..something factor factor how many how many times as many times as many in all in all twice twice of …..something of …..something double double product product

25. Multiply mixed numbers 3 and 1/2 Change mixed numbers to improper fraction (around the world) then multiply across numerator then multiply across denominator Change mixed numbers to improper fraction (around the world) then multiply across numerator then multiply across denominator

26. Key words of Division Per something (think unit rate) Per something (think unit rate) “best buy” (think unit rate and do not round decimals) “best buy” (think unit rate and do not round decimals) Which is cheaper? (think unit rate and do not round decimals) Which is cheaper? (think unit rate and do not round decimals)

27. Key words for Division quotient ratio of quotient ratio of each… percent each… percent each day cut into each day cut into how many pieces out of…. how many pieces out of…. per…. cut from per…. cut from average average separated separated reduce reduce divide or shared equally divide or shared equally

28. Divide Fraction ½ ÷ 3/4 ½ ÷ 3/4 K C F K C F ½ x 4/3 ½ x 4/3 Multiply across numerator Multiply across numerator Multiply across denominator Multiply across denominator

29. REMEMBER Something is TO Something….Think PROPORTION Something is TO Something….Think PROPORTION Measure of Data means medium, mean, mode and range Measure of Data means medium, mean, mode and range

30. mean: (average) found by adding a list of numbers and then dividing by how many objects are involved mean: (average) found by adding a list of numbers and then dividing by how many objects are involved median: the middle number in a list that is least to greatest (if there are 2 in the middle, average them) median: the middle number in a list that is least to greatest (if there are 2 in the middle, average them) Variation means range Variation means range

31. mode: in a list, the number or numbers (if any) that occur the MOST or Most commonly….. mode: in a list, the number or numbers (if any) that occur the MOST or Most commonly….. range: in a list, the highest minus the lowest number (is ALWAYS positive!) range: in a list, the highest minus the lowest number (is ALWAYS positive!)

32. Find the mean of missing number Take the mean grade from the problem and multiply it by the number of grades in the problem Take the mean grade from the problem and multiply it by the number of grades in the problem Take that answer and subtract each grade Take that answer and subtract each grade After you have subtracted the last grade find that answer in the choice…You Got it! After you have subtracted the last grade find that answer in the choice…You Got it!

33. Sample space – all the possible outcomes of an experiment. (make a list) Sample space – all the possible outcomes of an experiment. (make a list) complementary: 2 or more angles that add up to 90 degrees complementary: 2 or more angles that add up to 90 degrees

34. supplementary: 2 or more angles that add up to 180 degrees (130  and 50 , or 90  and 90  ) s/s supplementary: 2 or more angles that add up to 180 degrees (130  and 50 , or 90  and 90  ) s/s similar: (~) congruent angles, proportional sides similar: (~) congruent angles, proportional sides

35. FIND IF SHAPE IS SIMILAR MAKE SURE YOU MATCH THE SIDES OF EACH SHAPE CORRECTLY MAKE SURE YOU MATCH THE SIDES OF EACH SHAPE CORRECTLY SET UP PROPORTION AND SOLVE SET UP PROPORTION AND SOLVE NOTE: THE ANSWER CAN BE PROPORTIONAL OR CAN NOT BE PROPORTIONAL NOTE: THE ANSWER CAN BE PROPORTIONAL OR CAN NOT BE PROPORTIONAL REMEMBER: WITHIN (MEANS THE PROPORTION SETUP IS WITHIN THE SHAPE OR BETWEEN (MEANS THE SETUP IS ACROSS THE TWO SHAPES REMEMBER: WITHIN (MEANS THE PROPORTION SETUP IS WITHIN THE SHAPE OR BETWEEN (MEANS THE SETUP IS ACROSS THE TWO SHAPES

36. perimeter: the distance around the outside; ADD all OUTSIDE pieces be careful of irregular figures (do not leave any sides blank) perimeter: the distance around the outside; ADD all OUTSIDE pieces be careful of irregular figures (do not leave any sides blank) area: FORMULAS!! the space inside a 2-d shape area: FORMULAS!! the space inside a 2-d shape F ormula Substitute S olve F ormula Substitute S olve

37. PERIMETER OF IRREGULAR FIGURES MAKE SURE ALL SIDES ON THE OUTSIDE OF THE FIGURES HAVE A MEASUREMENT MAKE SURE ALL SIDES ON THE OUTSIDE OF THE FIGURES HAVE A MEASUREMENT THEN ADD UP ALL SIDES THEN ADD UP ALL SIDES

38. AREA OF FIGURE INSIDE A SHADED REGION (1) focus on the non-shaded region and identify shape or shapes that is located on math formula chart (1) focus on the non-shaded region and identify shape or shapes that is located on math formula chart (2) if there are two shapes in one big shape, you must find the area of both shapes then add them together (2) if there are two shapes in one big shape, you must find the area of both shapes then add them together Example:( shapes are rectangle and a trapezoid) find the area of rectangle and then the trapezoid and the two together. Example:( shapes are rectangle and a trapezoid) find the area of rectangle and then the trapezoid and the two together.

39. Finding Area or Circumference with missing part of the formula If the formula is multiply, then to find the missing part of the formula you will divide If the formula is multiply, then to find the missing part of the formula you will divide If the formula is divide, then to find the missing part of the formula you will multiply If the formula is divide, then to find the missing part of the formula you will multiply Note: Watch out for unit conversions Note: Watch out for unit conversions Example: feet to inches, pints to ounces Example: feet to inches, pints to ounces

40. Unit Conversions Watch out for unit conversions Watch out for unit conversions Example: quarts to ounces, weeks to days, hours to minutes, liters to milliliters, etc. Example: quarts to ounces, weeks to days, hours to minutes, liters to milliliters, etc.

41. volume: FORMULAS!! the space inside a 3-d shape volume: FORMULAS!! the space inside a 3-d shape radius: distance from the center to the edge of a circle radius: distance from the center to the edge of a circle F ormula Substitute S olve F ormula Substitute S olve

42. diameter: distance all the way across a circle diameter: distance all the way across a circle F ormula Substitute S olve F ormula Substitute S olve circumference: FORMULA!! distance around the outside of a circle circumference: FORMULA!! distance around the outside of a circle

43. VOLUME PROBLEMS ALWAYS ACT IT OUT ALWAYS ACT IT OUT ALWAYS REFER TO MATH FORMULA CHART ALWAYS REFER TO MATH FORMULA CHART ALWAYS LABEL YOUR PARTS THEN SUBSTITUTE ALWAYS LABEL YOUR PARTS THEN SUBSTITUTE Work backwards Work backwards Volume of Triangular Prism V=b.h (h) Volume of Triangular Prism V=b.h (h) 2

44. Remember Volume of Rectangular Prism V= (l · w)h

45. corresponding angles/sides: in the same place corresponding angles/sides: in the same place pattern/sequence: a predictable series of numbers or pictures that follow a rule (think of position and value of term) pattern/sequence: a predictable series of numbers or pictures that follow a rule (think of position and value of term) Adjacent: Two an gles are Adjacent if they have a common side and a common vertex (corner point) and don't overlap. Adjacent: Two an gles are Adjacent if they have a common side and a common vertex (corner point) and don't overlap.

46. Adjacent angles

47. Know all Triangles Definitions Equilateral triangle Equilateral triangle Isosceles triangle Isosceles triangle Right scalene triangle Right scalene triangle Scalene triangle Scalene triangle Obtuse Isosceles triangle Obtuse Isosceles triangle Obtuse triangle Obtuse triangle Note: when you read in the problem about a triangle….think about all triangles above before making a choice. Note: when you read in the problem about a triangle….think about all triangles above before making a choice.

48. prism: 3-d shape (polyhedron) with 2 bases and all other faces that are rectangles prism: 3-d shape (polyhedron) with 2 bases and all other faces that are rectangles pyramid: 3-d shape (polyhedron) with 1 base and all other faces that are triangles pyramid: 3-d shape (polyhedron) with 1 base and all other faces that are triangles

49. transformations: changes in a figure’s position transformations: changes in a figure’s position translation: (slide) use one of the point (x, y) to move a figure up/down and/or left/right in a coordinate plane translation: (slide) use one of the point (x, y) to move a figure up/down and/or left/right in a coordinate plane

50. reflection: (flip) a mirror image of a figure over y-axis; “Y” like a butterfly – a mirror image of a figure over x-axis; “X” like a laptop. reflection: (flip) a mirror image of a figure over y-axis; “Y” like a butterfly – a mirror image of a figure over x-axis; “X” like a laptop. estimate, best representation, most reasonable, approximate and about: a close guess estimate, best representation, most reasonable, approximate and about: a close guess

51. TRANSFORMATION THINK….X-coordinate is the first number in the ordered pair THINK….X-coordinate is the first number in the ordered pair Y-coordinate is the second number in the ordered pair Y-coordinate is the second number in the ordered pair X-coordinate is plotted always horizontal (left or right; right or left) X-coordinate is plotted always horizontal (left or right; right or left) Y-coordinate is plotted always vertical (up or down; down or up) Y-coordinate is plotted always vertical (up or down; down or up)

52. Successive – next to or one after another. Successive – next to or one after another. percent proportion: %/100 = is part/of the whole; tips, tax, discounts, part of a number or special group percent proportion: %/100 = is part/of the whole; tips, tax, discounts, part of a number or special group

53. exponent: a number (base) raised to a power exponent: a number (base) raised to a power 3 3 = 3 x 3 x 3 = 27 square number/perfect square: model is ALWAYS a square!! 3 2 = 3 x 3 = 9, so the square root of 9 is 3 square number/perfect square: model is ALWAYS a square!! 3 2 = 3 x 3 = 9, so the square root of 9 is 3

54. Remember Square Root is side length Square Root is side length Square root is never with the radical sign Square root is never with the radical sign 169 square root is 13 because 13 x 13 = 169 169 square root is 13 because 13 x 13 = 169 225 square root is 15 because 15 x 15 = 225 225 square root is 15 because 15 x 15 = 225 196 square root is 14 because 14 x 14 = 196 196 square root is 14 because 14 x 14 = 196

55. Multiply Fraction Arrays Think of rows and columns Think of rows and columns You write the two fractions from rows and columns then multiply across numerator and multiply across denominator You write the two fractions from rows and columns then multiply across numerator and multiply across denominator Simplify if you can Simplify if you can Draw your own Draw your own

56. prime: numbers with only 2 factors: 1 and itself (2, 3, 5, 7, 11, 13, 17, 19, etc) prime: numbers with only 2 factors: 1 and itself (2, 3, 5, 7, 11, 13, 17, 19, etc) composite: numbers with more than 2 factors (4, 6, 8, 9, 10, 12, etc.) composite: numbers with more than 2 factors (4, 6, 8, 9, 10, 12, etc.)

57. Remember multiples Multiples of 6: 6, 12, 18, 24, 30, …. Multiples of 6: 6, 12, 18, 24, 30, …. Multiples of 4: 4, 8, 12, 16, 20,….. Multiples of 4: 4, 8, 12, 16, 20,…..

58. Remember Factors GCF of 12 and 48: 12 GCF of 12 and 48: 12 GCF of 30 and 45: 15 GCF of 30 and 45: 15

59. Sequence (position and value of terms) If answers are in a list and the question ask for the nth term do: If answers are in a list and the question ask for the nth term do: (1) go to the answers and write 1, 2, 3, 4, …..on top of each answer choices for the position (1) go to the answers and write 1, 2, 3, 4, …..on top of each answer choices for the position (2) go to the rule in the problem and substitute the n for 1,2,3,4,…to see if you get the numbers in the answer choices (2) go to the rule in the problem and substitute the n for 1,2,3,4,…to see if you get the numbers in the answer choices

60. Types of graphs: Types of graphs: Bar graph – used to count and compare information information Line graph – shows change (increase and decrease) over time decrease) over time Circle (pie) graph – used to show how a “whole” gets divided into smaller “whole” gets divided into smaller groups, often percentages groups, often percentages Venn diagram – shows how groups overlap