6th Grade Math
The following learning targets represent the major concepts studied and assessed in this course.
Semester 1
Unit A: Number Systems
A1. Integer Concepts
- Graph positive and negative integers and find their opposites.
- Order integers from least to greatest and use inequalities to compare integers.
- Find and use absolute value and magnitude to describe real-world situations.
A2. Rational Number Concepts
- Find and use absolute values and the opposite of a number to solve real-world problems.
- Compare positive and negative rational numbers using a number line.
- Find and use the GCF or LCM to solve problems.
- Order positive and negative rational numbers of different forms.
Unit B: Number Operations
B1. Fraction Division
- Divide fractions with the same denominators with and without models.
- Divide two fractions with unlike denominators using several methods.
- Find the quotient of a mixed number or fraction and a mixed number, fraction, or whole number.
- Divide mixed numbers and fractions to solve problems.
- Use the LCM and GCF to write fractions with like denominators and solve fraction problems using the four operations.
B2. Operations with Decimals
- Add and subtract multi-digit decimals to the thousandths with or without a model.
- Multiply multi-digit decimals, up to thousandths.
- Divide multi-digit whole numbers by multi-digit numbers with or without remainders.
- Divide a multi-digit decimal by a decimal to the hundredths place.
- Determine which operation is needed and use all four operations to solve problems with multi-digit decimals.
Unit C: Ratio and Rate Reasoning
C1. Ratios and Rates
- Write ratios in multiple forms
- Find equivalent ratios using tables, graphs, and models
- Compare ratios and rates
- Use unit rates to solve problems
C2. Applying Ratios to Measurement
- Create and interpret circle graphs
- Convert units within and between measurement systems
- Use equivalent ratios and conversion factors to solve problems
C3. Percent of a Quantity
- Convert ratios to percents
- Write percents as fractions and decimals
- Use multiplication and other strategies to solve real-world percent problems
Unit D: Expressions
D1. Numerical and Algebraic Expressions
- Write and evaluate numerical expressions with exponents
- Apply order of operations
- Write algebraic expressions to represent real-world problems
- Evaluate algebraic expressions
- Generate equivalent expressions using properties of operations
Semester 2
Unit E: Equations and Inequalities
E1. Solving Equations and Inequalities
- Write and solve equations using all four operations
- Model real-world situations using equations
- Write and graph equations
- Write and graph inequalities to represent real-world conditions
E2. Algebraic Relationships on the Coordinate Plane
- Represent situations with tables, equations, and graphs
- Identify dependent and independent variables
- Identify patterns and write equations to represent relationships
Unit F: Relationships in 2D Geometry
F1. Polygons on the Coordinate Plane
- Graph ordered pairs in all four quadrants
- Determine unknown vertices of polygons
- Find distances between points
- Find perimeter and area of polygons on the coordinate plane
F2. Finding Area of Polygons
- Use area formulas for parallelograms, triangles, and trapezoids
- Find unknown dimensions using area
- Find the area of composite figures
Unit G: Relationships in 3D Geometry
G1. Nets, Surface Area, and Volume
- Use nets to find surface area of prisms and pyramids
- Find volume using formulas
- Determine unknown dimensions using volume formulas
Unit H: Data Collection and Analysis
H1. Data Collection and Distribution
- Identify statistical questions
- Construct and analyze dot plots and histograms
- Describe distribution shape and range
- Interpret box plots
H2. Measures of Center and Variability
- Find and interpret mean, median, and mode
- Determine the best measure of center
- Find mean absolute deviation (MAD)
- Use range, IQR, and MAD to summarize data