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.

Percents and Proportions
Percents, Fractions and Decimals

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.

Part:Part and Part:Whole Ratios
Polling: Neighborhood

6.3: The student will

6.3.b: identify and describe prime and composite numbers;

Finding Factors with Area Models

6.4: The student will compare and order whole numbers, fractions, and decimals, using concrete materials, drawings or pictures, and mathematical symbols.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

6.5: The student will identify, represent, order, and compare integers.

Comparing and Ordering Integers

6.6: The student will

6.6.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;

Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers

6.7: The student will use estimation strategies to solve multistep practical problems involving whole numbers, decimals, and fractions (rational numbers).

Estimating Sums and Differences

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.

Percent of Change

6.10: The student will estimate and then determine length, weight/mass, area, and liquid volume/ capacity, using standard and nonstandard units of measure.

Perimeter, Circumference, and Area - Activity B

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.

Area of Parallelograms - Activity A
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

6.12: The student will

6.12.a: solve problems involving the circumference and/or area of a circle when given the diameter or radius;

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

6.12.b: derive approximations for pi from measurements for circumference and diameter, using concrete materials or computer models.

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

6.13: The student will

6.13.b: measure and draw right, acute, and obtuse angles and triangles.

Classifying Triangles
Triangle Angle Sum - Activity A

6.14: The student will identify, classify, and describe the characteristics of plane figures, describing their similarities, differences, and defining properties.

Classifying Quadrilaterals - Activity A
Classifying Triangles

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.

Constructing Congruent Segments and Angles

6.17: The student will sketch, construct models of, and classify solid figures (rectangular prism, cone, cylinder, and pyramid).

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

6.18: The student, given a problem situation, will collect, analyze, display, and interpret data in a variety of graphical methods, including

6.18.b: stem-and-leaf plots;

Stem-and-Leaf Plots

6.18.c: box-and-whisker plots. Circle graphs will be limited to halves, fourths, and eighths.

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.

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode

6.20: The student will

6.20.a: make a sample space for selected experiments and represent it in the form of a list, chart, picture, or tree diagram;

Permutations and Combinations

6.20.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.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

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.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

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.

Square Roots

6.23: The student will

6.23.a: model and solve algebraic equations, using concrete materials;

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
Using Algebraic Equations

6.23.b: solve one-step linear equations in one variable, involving whole number coefficients and positive rational solutions;

Modeling One-Step Equations - Activity A

6.23.c: use the following algebraic terms appropriately: variable, coefficient, term, and equation.

Using Algebraic Equations