| Standards and Expectations |
Student Edition Lesson(s) |
| Number
and Number Sense |
| 6.1 |
|
The student will identify representations of a given percent and describe orally and in writing the equivalence relationships among fractions, decimals, and percents. |
|
5-2,
5-3,
5-6,
5-7,
10-4,
10-5,
10-6,
10-7,
10-8 |
| 6.2 |
|
The student will describe and compare two sets of data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b. |
|
10-1,
10-2,
10-3 |
|
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|
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a) find common multiples and factors, including least common multiple and greatest common factor; and |
|
1-3,
5-1,
5-2,
5-4,
5-5,
6-4,
6-5,
6-6,
7-2,
7-3,
7-4,
7-5 |
|
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b) identify and describe prime and composite numbers; and |
|
1-2,
1-3 |
|
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c) identify and describe the characteristics of even and odd integers. |
|
1-2 |
| 6.4 |
|
The student will compare and order whole numbers, fractions, and decimals, using concrete materials, drawings or pictures, and mathematical symbols. |
|
3-2,
5-5 |
| 6.5 |
|
The student will identify, represent, order, and compare integers. |
|
8-1 |
| Computation
and Estimation |
|
|
|
|
|
a) solve problems that involve addition, subtraction, multiplication, and/or division with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less, and express their answers in simplest form; and |
|
6-3,
6-4,
6-5,
6-6,
7-2,
7-3,
7-4,
7-5 |
|
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b) find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a decimal to thousandths with exactly one non-zero digit. |
|
4-4 |
| 6.7 |
|
The student will use estimation strategies to solve multistep practical problems involving whole numbers, decimals, and fractions (rational numbers). |
|
1-1,
1-7,
3-4,
6-2,
7-1 |
| 6.8 |
|
The student will solve multistep consumer-application problems involving fractions and decimals and present data and conclusions in paragraphs, tables, or graphs. Planning a budget will be included. |
|
3-4,
3-5,
4-1,
4-3,
6-2 |
| Measurement |
| 6.9 |
|
The student will compare and convert units of measure for length, area, weight/mass, and volume within the U.S. Customary system and the metric system and estimate conversions between units in each system: |
|
|
|
|
a) length - part of an inch (1/2, 1/4, and 1/8), inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers; |
|
12-1,
12-2,
12-3,
12-4,
12-5 |
|
|
b) weight/mass - ounces, pounds, tons, grams, and kilograms; |
|
12-2,
12-4,
12-5 |
|
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c) liquid volume - cups, pints, quarts, gallons, milliliters, and liters; and |
|
12-2,
12-4,
12-5 |
|
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d) area - square units. ** The intent of this standard is for students to make ballpark comparisons and not to memorize conversion factors between U.S. Customary and metric units. |
|
14-2 |
| 6.10 |
|
The student will estimate and then determine length, weight/mass, area, and liquid volume/capacity, using standard and nonstandard units of measure. |
|
7-1,
12-1,
12-2,
12-3,
12-4,
14-1,
14-2,
14-3,
14-5 |
| 6.11 |
|
The student will determine if a problem situation involving polygons of four or fewer sides represents the application of perimeter or area and apply the appropriate formula. |
|
1-8,
4-5,
14-1,
14-2 |
|
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|
|
|
a) solve problems involving the circumference and/or area of a circle when given the diameter or radius; and |
|
4-6,
14-3 |
|
|
b) derive approximations for pi (p) from measurements for circumference and diameter, using concrete materials or computer models. |
|
4-6 |
|
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|
|
|
a) estimate angle measures, using 45°, 90°, and 180° as referents, and use the appropriate tools to measure the given angles; and |
|
13-1,
13-2 |
|
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b) measure and draw right, acute, and obtuse angles and triangles. |
|
13-1 |
| Geometry |
| 6.14 |
|
The student will identify, classify, and describe the characteristics of plane figures, describing their similarities, differences, and defining properties. |
|
13-4 |
| 6.15 |
|
The student will determine congruence of segments, angles, and polygons by direct comparison, given their attributes. Examples of noncongruent and congruent figures will be included. |
|
13-3,
13-4,
13-6 |
| 6.16 |
|
The student will construct the perpendicular bisector of a line segment and an angle bisector. |
|
13-3 |
| 6.17 |
|
The student will sketch, construct models of, and classify solid figures (rectangular prism, cone, cylinder, and pyramid). |
|
14-4 |
| Probability
and Statistics |
| 6.18 |
|
The student, given a problem situation, will collect, analyze, display, and interpret data in a variety of graphical methods, including |
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|
|
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a) line, bar, and circle graphs, (Circle graphs will be limited to halves, fourths, and eighths); |
|
2-1,
2-2,
2-3,
2-4,
2-8 |
|
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b) stem-and-leaf plots; and |
|
2-5 |
|
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c) box-and-whisker plots. |
|
|
| 6.19 |
|
The student will describe the mean, median, and mode as measures of central tendency, describe the range, and determine their meaning for a set of data. |
|
2-6,
2-7,
2-8 |
|
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|
|
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a) make a sample space for selected experiments and represent it in the form of a list, chart, picture, or tree diagram; and |
|
11-1,
11-2,
11-5 |
|
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b) determine and interpret the probability of an event occurring from a given sample space and represent the probability as a ratio, decimal or percent, as appropriate for the given situation. |
|
11-1,
11-2,
11-4,
11-5 |
| Patterns,
Functions, and Algebra |
| 6.21 |
|
The student will investigate, describe, and extend numerical and geometric patterns, including triangular numbers, patterns formed by powers of 10, and arithmetic sequences. |
|
1-1,
1-2,
1-4,
7-6,
9-6 |
| 6.22 |
|
The student will investigate and describe concepts of positive exponents, perfect squares, square roots, and, for numbers greater than 10, scientific notation. Calculators will be used to develop exponential patterns. |
|
1-4,
4-1,
11-1,
3-1 |
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|
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a) model and solve algebraic equations, using concrete materials; |
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1-7,
9-2,
9-3,
9-4,
9-5 |
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b) solve one-step linear equations in one variable, involving whole number coefficients and positive rational solutions; and |
|
1-7,
9-2,
9-3,
9-4,
9-5 |
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c) use the following algebraic terms appropriately: variable, coefficient, term, and equation. |
|
1-6,
1-7,
9-4 |
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Extra Examples—
