Mathematics: Applications & Concepts, Course 1
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Extra Examples—TCAP

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State Performance Indicator Student Edition Lesson(s)
6.1.spi.1 identify the place value of a given digit.
3-1, 3-3
6.1.spi.2 solve one-step real-world problems involving whole numbers and decimals.
1-1, 1-5, 1-6, 3-3, 3-5, 4-1, 4-2, 4-3, 4-4
6.1.spi.3 represent numbers using a variety of models and equivalent forms (i.e., whole numbers, mixed numbers, fractions, decimals, and percents).
3-1, 3-3, 4-3, 5-2, 5-3, 5-5, 5-6, 6-1, 6-3, 6-5, 6-6, 7-1, 7-2, 7-3, 7-4, 10-4, 10-5, 10-6, 10-7
6.1.spi.4 connect whole numbers, mixed numbers, fractions, and decimals to locations on the number line;
3-2, 3-3, 5-3, 5-5, 6-1, 10-6, 11-1
6.1.spi.5 compare and order whole numbers, fractions, decimals, and percents using the appropriate symbol (<, >, =);
3-2, 5-5, 10-6
6.1.spi.6 identify prime and composite numbers up to 50;
1-3
6.1.spi.7 apply order of operations when computing with whole numbers (no parentheses or exponents);
1-5
6.1.spi.8 use estimation to select a reasonable solution to a computation involving whole numbers, fractions, and/or decimals;
1-1, 3-3, 3-4, 6-2, 7-1, 14-3
6.1.spi.9 compute efficiently and accurately with whole numbers, fractions, and decimals.
 
6.1.spi.10 connect ratios to a variety of models, real-world situations, and symbolic representations;
10-1
6.1.spi.11 select a reasonable solution to a real-world division problem in which the remainder must be considered.
4-3, 4-4
6.2.spi.1 extend geometric and numerical patterns.
1-1, 7-6
6.2.spi.2 generalize patterns in data represented in tables;
1-1, 9-6, 9-7
6.2.spi.3 apply function rules;
9-6,9-7
6.2.spi.4 find missing addends or factors represented as variables in simple equations;
1-7, 9-2,9-3, 9-4,9-5
6.2.spi.5 extend rate charts to solve real-world problems;
9-7
6.2.spi.6 select an equation that represents a given mathematical relationship.
9-2, 9-3, 9-4, 9-5, 9-6
6.2.spi.7 evaluate algebraic expressions for a given value of the variable.
1-6, 3-5, 4-1, 4-2, 4-4, 6-4, 6-5, 7-3, 7-4
6.3.spi.1 identify parallel, perpendicular, and intersecting lines;
13-1, 13-3, 13-4
6.3.spi.2 use ordered pairs to describe given points in Quadrant I of a coordinate system.
8-6
6.3.spi.3 classify two-dimensional geometric figures using properties;
13-4
6.3.spi.4 identify the results of transformations of two-dimensional figures (i.e., rotations/turns, flips/reflections, slides/translations);
13-5
6.3.spi.5 use spatial reasoning to identify the three-dimensional figure created from a two-dimensional representation (net) of that figure (i.e., cube, rectangular prism, pyramid, cone, or cylinder);
 
6.3.spi.6 classify angles as acute, obtuse, right, or straight.
13-1
6.3.spi.7 classify quadrilaterals using their defining properties.
13-4
6.4.spi.1 use strategies to estimate perimeter and area of rectangles ;
4-5, 6-2, 7-1
6.4.spi.2 solve real-world problems involving elapsed time.
12-6
6.4.spi.3 convert from one unit to another within the same system
12-1, 12-2, 12-5
6.4.spi.4 select units of appropriate size and type to measure angles, perimeter, area, capacity, volume, and weight;
1-8, 4-5, 12-1, 12-2, 12-4, 13-1, 13-2, 14-2, 14-5, 14-6
6.4.spi.5 apply formulas to determine the area of rectangles and triangles;
1-8, 14-1, 14-2
6.4.spi.6 use scales to read maps;
10-3
6.4.spi.7 solve real-world problems involving perimeter and area of rectangles;
1-8, 4-5
6.4.spi.8 determine the distance between two points on the x- or the y-axis in Quadrant I.
 
6.4.spi.9 solve problems involving ratios and proportions.
10-1, 10-2, 10-3
6.5.spi.1 determine the mode of a data set.
2-7, 2-8
6.5.spi.2 interpret bar and line graphs to answer questions and solve real-world problems;
2-2, 2-4, 2-8
6.5.spi.3 determine the mean of a data set;
2-6
6.5.spi.4 determine the median from a stem-and-leaf-plot;
 
6.5.spi.5 determine if a sample is biased;
 
6.5.spi.6 represent the likelihood of an event using a number from 0 - 1.
11-1
6.5.spi.7 connect data sets and their graphical representations (i.e., bar graphs, circle, graphs, and stem-and-leaf plots);
2-2, 2-3, 2-5
6.5.spi.8 make conjectures and predictions based on data;
2-4, 2-7, 11-3, 11-4
6.5.spi.9 use a tree diagram or organized list to determine all possible outcomes of a simple compound event.
11-2

 

 
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Mathematics: Applications & Concepts, Course 1