Mathematics: Applications & Concepts, Course 2
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Extra Examples—TCAP

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State Performance Indicator Student Edition
Lesson(s)
7.1.spi.1 identify prime and composite numbers up to 50;
5-1
7.1.spi.2 compute efficiently and accurately with whole numbers, fractions, and decimals.
 
7.1.spi.3 represent numbers using a variety of equivalent forms (i.e., mixed numbers, fractions, decimals, percents, and integers);
5-4, 5-5, 5-6, 7-5, 7-6
7.1.spi.4 compare rational numbers using the appropriate symbol (<, >, =);
3-2, 5-8, 7-5
7.1.spi.5 identify the opposite and the reciprocal of a rational number;
3-4, 6-5
7.1.spi.6 connect percents greater than 100 and percents less than one to real-world situations;
7-6
7.1.spi.7 apply order of operations when computing with whole numbers (no more than two parentheses and no exponents);
1-3, 1-4
7.1.spi. 8 solve one- and two-step real-world problems involving whole numbers, fractions, and decimals;
1-1, 6-2, 6-3, 6-4, 7-6, 7-7, 7-8, 8-4, 8-5
7.1.spi.9 use estimation strategies to select a reasonable solution to a computation involving rational numbers;
1-1, 6-1, 6-2, 6-3, 6-8, 8-1, 11-2
7.1.spi.10 select a reasonable solution to a real-world division problem in which the remainder must be considered.
 
7.1.spi.11 connect rational numbers to locations on the number line;
3-1, 3-2, 6-1, 9-1
7.1.spi.12 use ratios to represent quantitative relationships.
7-1, 7-2, 7-3, 7-4, 7-7, 7-8
7.2.spi.1 extend geometric and numerical patterns;
1-7
7.2.spi.2 apply function rules;
4-6
7.2.spi.3 extend rate charts to solve real-world problems.
1-4, 1-7
7.2.spi.4 generalize patterns in data represented in tables and graphs;
4-6
7.2.spi.5 represent mathematical statements and real-world situations using symbols;
1-4, 1-5, 3-4, 3-6, 4-1, 4-2, 4-3, 4-4, 4-5
7.2.spi.6 evaluate algebraic expressions for a given value of up to two variables;
1-4, 3-4, 3-5, 3-6, 3-7
7.2.spi.7 solve one-step linear equations.
4-6
7.2.spi.8 solve real-world problems involving one-step linear equations;
4-6
7.2.spi.9 identify whole numbers that satisfy a given one-variable one-variable linear inequality;
4-5
7.2.spi.10 select the scatterplot that represents the data in tabular form;
2-2
7.2.spi.11 interpret graphs which represent rates of change.
 
7.3.spi.1 identify the results of transformations of two-dimensional figures (i.e., turns/rotations, flips/reflections, slides/translations).
10-8, 10-9
7.3.spi.2 classify triangles by angle, size, and length of sides;
10-4
7.3.spi.3 determine conguence of line segments, angles, and polygons;
10-3 10-4 10-5, 10-8, 10-9
7.3.spi.4 classify polygons by properties;
10-4, 10-5
7.3.spi.5 use ordered pairs to describe given points in a coordinate system.
3-3
7.3.spi.6 determine the measure of an angle of a triangle given the measures of the other two angles;
10-4
7.3.spi.7 apply spatial reasoning and visualization to solve real-world problems.
 
7.4.spi.1 apply formulas to determine the areas of rectangles and triangles;
6-8, 11-5
7.4.spi.2 determine the distance between two points on the x- or the y-axis in Quadrant I.
 
7.4.spi.3 convert from one unit to another within the same system;
1-8, 6-7
7.4.spi.4 select units of appropriate size and type to measure angles, perimeter, area, surface area, and volume;
6-8, 11-4, 11-5, 11-6, 11-7, 12-2, 12-3, 12-4, 12-5
7.4.spi.5 apply formulas to determine the area of parallelograms, trapezoids, and circles.
11-4, 11-5, 11-6
7.4.spi.6 estimate length, perimeter, circumference, area, and volume using a variety of strategies;
6-8, 6-9, 11-4, 11-5, 11-6, 12-2, 12-3, 12-5
7.4.spi.7 find or estimate the area of irregular and complex shapes;
11-7
7.4.spi.8 solve problems involving scale factors using ratios and proportions.
7-4
7.5.spi.1 interpret bar and line graphs to answer questions and solve real-world problems.
2-2, 2-7, 2-8
7.5.spi.2 interpret circle graphs displaying real-world data;
10-2
7.5.spi.3 determine the mean for a data set;
2-4
7.5.spi.4 determine the median for a data set;
2-4
7.5.spi.5 make predictions based on data;
2-2, 2-3, 2-4, 2-5, 2-8, 8-3, 9-1, 9-6, 10-2
7.5.spi.6 use a tree diagram or organized list to determine all possible outcomes of a simple compound event.
9-2
7.5.spi.7 connect data sets and their graphical representation (i.e., bar graphs, stem-and-leaf plots, box plots, and scatterplots);
2-2, 2-3, 2-5, 2-6, 2-7, 10-2
7.5.spi.8 use proportional thinking to make conjectures about results of experiments and simulations;
9-6
7.5.spi.9 connect the symbolic representation of a probability to an experiment.
9-6
 
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Mathematics: Applications & Concepts, Course 2
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