Extra Examples—TCAP

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Standards and Expectations Student Edition Lesson(s)
 8.1.spi.1 identify the opposite and the reciprocal of a rational number;
1-3, 1-5, 2-4
 8.1.spi.2 compare rational numbers using the appropriate symbol (<, >, =).
1-3, 2-2, 2-9, 3-3, 5-2
 8.1.spi.3 use ratios and proportions to represent real-world situations (i.e., scale drawings, probability);
4-1, 4-2, 4-4, 4-5, 4-6, 4-7, 4-8, 8-1, 8-2, 8-5, 8-6
 8.1.spi.4 determine the approximate locations of rational numbers on a number line;
3-3, 5-4, 8-1
 8.1.spi.5 determine the square roots of perfect squares (< 169);
3-1
 8.1.spi.6 work flexibly with fractions, decimals, and percents to solve one- and two-step word problems;

 8.1.spi.7 compute efficiently and accurately with whole numbers, fractions, decimals, and percents;

 8.1.spi.8 use estimation strategies to select a reasonable solution to a real-world problem involving computing with rational numbers;
5-4
 8.1.spi.9 calculate rates involving cost per unit to determine the best buy.
4-1
 8.1.spi.10 use exponential, scientific, and calculator notation to represent large numbers in real-world situations;
2-8, 2-9
 8.1.spi.11 apply order of operations in computing with rational numbers using no more than two parentheses and exponents 1 and 2.
1-2
 8.2.spi.1 generalize a variety of patterns with symbolic rules;
11-1, 11-2, 11-3
 8.2.spi.2 evaluate a first-degree algebraic expression given values for two or more variables.
1-2
 8.2.spi.3 represent situations and solve real-world problems using symbolic algebra;
1-2, 1-7, 1-8, 1-9, 2-7, 3-4, 12-3, 12-4, 12-5
 8.2.spi.4 connect symbolic expressions and graphs of lines;
11-3, 11-4, 11-5
 8.2.spi.5 generate equivalent forms for simple algebraic expressions; , ,
12-3, 12-4, 12-5
 8.2.spi.6 solve one- and two-step linear equations involving integers;
11-3
 8.2.spi.7 apply given formulas to solve real-world problems;
3-5, 5-8, 7-1, 7-2, 7-5, 7-6, 7-7, 7-8
 8.2.spi.8 interpret graphs which represent rates of change.
4-2
 8.2.spi.9 formulate multi-step equations that represent relationships and real-world situations;
10-3
 8.2.spi.10 solve one-step linear inequalities;
10-5, 10-6, 10-7
 8.2.spi.11 connect the appropriate graph to a linear equation.
11-3
 8.3.spi.1 classify types of two- and three-dimensional geometric figures using their defining properties;
6-2, 6-4, 7-2, 7-4
 8.3.spi.2 use ordered pairs to describe given points in a coordinate system.

 8.3.spi.3 identify relationships among angles (i.e., complementary, supplementary, interior, exterior, vertical, corresponding);
6-1
 8.3.spi.4 recognize similar geometric figures;
4-5
 8.3.spi.5 determine the measure of an angle of a triangle given the measures of the other two angles;
6-2
 8.3.spi.6 apply relationships among angles and side lengths of similar geometric figures;
4-5
 8.3.spi.7 apply spatial reasoning and visualization to solve real-world problems.

 8.3.spi.8 apply geometric ideas and relationships in areas outside the mathematics classroom (i.e., art, science, everyday life);

 8.3.spi.9 solve problems using angle relationships (i.e., complementary, supplementary, interior, exterior, vertical, corresponding).
6-1
 8.4.spi.1 select units of appropriate size and type to measure angles, perimeter, area, surface area, and volume;
7-1, 7-2, 7-3, 7-5, 7-6, 7-7, 7-8
 8.4.spi.2 convert from one unit to another within the same system.

 8.4.spi.3 estimate length, perimeter, circumference, area, and volume using a variety of strategies;
7-1, 7-2, 7-5, 7-6, 7-7
 8.4.spi.4 apply formulas to find the area of triangles, parallelograms, and trapezoids;
7-1, 7-3, 7-7, 7-8
 8.4.spi.5 solve real-world problems involving rate/time/distance (i.e., d = rt);
1-9, 2-3
 8.4.spi.6 apply formulas to find the circumference and area of circles;
7-2, 7-3
 8.4.spi.7 estimate or find the area of irregular and complex shapes.
7-3
 8.4.spi.8 solve problems involving scale factors using ratios and proportions;
4-6
 8.4.spi.9 solve real-world problems using the Pythagorean Theorem (no radicals).
3-4, 3-5
 8.5.spi.1 identify an appropriate sample to test a given hypothesis.
8-7
 8.5.spi.2 interpret appropriate graphical representations of data (i.e.., histograms, box plots, scatterplots);
9-3
 8.5.spi.3 determine the mean of a given set of real-world data;
9-4, 9-5
 8.5.spi.4 connect data sets and their graphical representations (i.e., histograms, stem-and-leaf plots, box plots, scatterplots);
9-1, 9-2, 9-3, 9-6, 11-6
 8.5.spi.5 make conjectures and predictions based on data;
8-7
 8.5.spi.6 connect the symbolic representation of a probability to an experiment.
8-1, 8-6
 8.5.spi.7 determine the median of a given set of real-world data (even number of data);
9-4, 9-5
 8.5.spi.8 recognize misleading presentations of data.
9-7

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