VIEWS: 5 PAGES: 54 POSTED ON: 5/27/2011 Public Domain
Problem Solving Strategies Estimate • Fractions: Estimate to 0, ½ , 1 • Decimals: Estimate • + - × ÷: Estimate Draw a picture • prime factor tree • fractions • area, perimeter, volume, surface area Make a Chart factors multiples equivalent fractions ratios Guess and Check • Algebra “n” – 15 = 35 a. 20 b. 50 c. 45 d. 10 Look Back Does the answer make sense? Is it reasonable? CRCT Review Numbers and Operations Unit Greatest Common Factor Find the GCF of 4 and 12 Factors of 4: 1,2,4 Factors of 12: 1,2,3,4,6,12 The GCF of 4 and 12 is 4 Least Common Multiple Find the LCM of 3 and 12 Multiples of 3: 3,6,9,12,… Multiples of 12: 12, 24, 36,… The LCM of 3 and 12 is 12 Prime Factorization Factor Tree (Student Video) 100 25 x 4 5x 5 2 x 2 = 5x5x2x2 Fractions Estimate.. Estimate.. Estimate.. Is the fraction closer to 0 ½ or 1? Draw a picture if you have a doubt Equivalent Fractions The fractions 2/3, 4/6, and 6/9 are equivalent fractions. They name the same basic fraction 2/3. You can re-name fractions by multiplying by the GIANT 1 method Comparing Fractions Fractions can be compared using cross multiplication. Which fraction is larger 5/9 or 4/5? Of course, 4/5! 5 4 9 5 Fraction Basics Add and Subtract: Denominators must be the same! (Video) (Student Video) Multiply: Top, Bottom, Simplify (Student Video) Divide: Just flip the second and Multiply (Student Video) Decimals Estimate… Estimate.. Estimate When placing decimal numbers in order, annex zeros (if needed) Which is larger 11.19 or 11.9? Annex zeros to give both decimals the same number of places after the decimal. 11.19 / 11.90. You can see that 11.90 is the larger! Decimals – Add / Subtract This one is easy! Just line up the decimals! (Student Video) Decimals - Multiply Just multiply as usual. Then, count the number of places to the right of both decimal numbers. Move the decimal this number of places to the left in your answer! What is 3.2 x 0.1? 32 x 1 = 32. Move the decimal 2 places to the left to equal 0.32 (Student Video) Decimals - Divide Remember, the divisor must become a whole number before dividing! 0.5 18.45 Move the decimal in the divisor and the dividend 1 place to the right (Student Video) Percent (%) of a Number Change the % to a fraction & multiply or Change the % to a decimal & multiply. What is 10% of 200? 1/10 x 200/1 = 20 or .10 x 200 = 20 (Student Video) Fractions to Decimals To change a fraction to a decimal, just divide as usual. Annex zeros and remember the decimal point in the answer! Change 3/5 to a decimal 0.6 5 3 (Student Video) (Student Video) Percents to Fractions Remember, percent means “per hundred” What is 33% as a fraction? 33/100 It’s that easy! (Student Video) Fractions-Decimals-Percents 1 1.0 100% ½ .50 50% 1/3 .333 33.3% ¼ .25 25% 1/5 .20 20% 1/10 .10 10% CRCT Review Measurement Unit Length Standard Units Metric Units 1 yd = 3 ft 1km = 1000 m 1 ft = 12 in 1m = 100 cm 1 mi= 5,280 ft 1cm = 10 mm Metric Length Units of Measure: Millimeter (mm) Centimeter (cm) Meter (m) about 1 yard Kilometer (km) about ½ mile (Student Video) Customary Volume Customary Units Metric Units 1gal = 4 qt 1gal = 8 pints 1gal = 16 cups Perimeter The distance around any closed figure. A border is put around a rectangular room that is 12ft wide and 10 ft. long. How much border material is needed? Answer: 44 ft. (Student Video) Area of Rectangular Prisms The number of square units needed to cover a surface enclosed by a geometric figure. Surface Area of a Rectangular Prism Length x Width or Base x Height How many 1-inch tiles are needed to cover a square table with a side measure of 20 inches? Answer: 400 square inches (Student Video) Surface Area of Rectangular Prisms “Panther Method” times 2 What is the total surface area of a cereal box that measures 8in. by 2in. by 11in? Answer: 254 square inches (Student Video) Volume of Rectangular Prisms in 3D! Length x Width x Height What is the volume of a container with length 10cm, width 2cm, and height 6cm? Answer: 10cm x 2cm x 6cm = 120 cubic cm Circumference of Circles ∏d or 2∏r What is the circumference of a tire with a diameter of 20 inches? Answer: Since pi = 3.14 and the diameter is 20 inches, then the circumference is 3.14 x 20 inches or 62.8 square inches! Area of Circles (∏r squared) What is the area of a pizza with a radius of 6 inches? Answer: Since pi = 3.14 and the radius is 3cm, the area of this circle is 3.14 x 36 inches or 113.04 square cm. CRCT Review Geometry Congruent Figures 2 figures are congruent when they are the same shape and the same size. 2in. X 4in. 2in. X 4in. Similar Figures 2 figures are similar when they are the same shape but not the same size. These triangles are similar. What is the length of the base of triangle 2? 1 2 6 10 5 3 4 ?? Answer: 2 Geometry:Textbook Sites Chapter 7: Proportional Relationships 7-4 Similar Figures 7-6 Scale Drawings and Maps Chapter 8: Geometric Relationships 8-9 Congruence 8-11 Line Symmetry Line Symmetry A figure has line symmetry if a single line or fold splits the shape into congruent halves. a regular pentagon has 5 internal angles and 5 lines of symmetry. Rotational Symmetry A figure has rotational symmetry if it can be rotated and have the figure match the original position Order of Rotation: 5 Order of Rotation: 7 Angle of Rotation: Angle of Rotation: 360° ÷ 5 = 72° 360° ÷ 7 = 51.4° Geometric Nets A flat pattern that can be folded to make a solid figure. Cylinder Square Pyramid Cube CRCT Review Algebra Patterns Fill in the missing numbers in this table if y=6x X y 1 ? 3 ? ? 36 Holt Work Text Ratios A ratio compares 2 numbers. Ratios can be written in the following ways: 1 to 4 1:4 ¼ Holt Work Text Ratios Cameron used 12 red beads and 60 white beads to make a necklace. What was the ratio of red to white beads to total beads? a.1:5 b. 1:6 c. 1:12 d. 1:4 Answer: There are 72 total beads and 12 are red. The ratio is 12/72, which can be simplified as 1/6 – a 1:6 ratio Proportions A proportion compares 2 different ratios and shows that they are equal. We can determine if 8/12 = 2/3 is a proportion by cross multiplication. The two ratios make a proportion when the cross products are equal. Proportions: “Z Method” 2/8 = x/24 1/8 = 7/x Holt Work Text 3 out of every 5 parents vote in an election. If there are 450 parents, how many can be expected to vote? Answer: 270 parents can be expected to vote Proportions in the Form y = kx Jennifer earns $20 for every 2 hours that she baby-sits. On Saturday night, she babysat for 3 hours. How much money does she earn? Answer: $30 Proportions in the Form y = kx If you graph each equation below, all of the graphs will be straight lines. The steepest line would represent which equation? a. y=1/9x b. y=2/9x c. y=1/3x d. y=2/3x Graphing Calculator Evaluating Algebraic Equations When a letter is shown beside a number with no sign, it means to multiply! 4a 4 x a 4·a (Student Video) Solving One Step Equations if 4a = 36, a=? (9) if n – 19 = 28, n = ? (47) if z + 10 = 12, z = ? (2) if x2 –1 = 24, x= ? (5) if 36/m = 6, m=? (6) Evaluating Algebraic Equations What is the value of this expression when d = 3? d2 + 14 a. 20 b. 23 c. 25 d. 47 Answer: b CRCT Review Data Analysis and Probability Probability …the chance than an event will happen. Experimental probability approaches theoretical probability as the number of events is large. 0 : cannot occur ½ : 50-50 chance 1 : certain