Grade 7 Mathematics Curriculum
Grade 7 Honors Additions
- Integers & Rational Numbers
- 6th grade review
- Divisibility rules
- Prime and composite numbers
- Prime factorization
- Greatest common factor (multiple methods)
- With algebraic expressions
- Least common multiple (multiple methods)
- With algebraic expressions
- Integers
- Comparing & ordering
- Adding & subtracting
- Multiplying & dividing
- Rational number review
- Decimals & Fractions
- Converting
- Adding & subtracting
- Multiplying & dividing
- Complex fractions
- Problem solving
- Identifying too much information
- Real world integer applications
- Absolute value and operations with absolute values
- Order of operations
- With exponents and multiple grouping symbols
- Sequences
- Expressions
- Properties of operations
- Read, write & evaluate mathematics expressions
- Simplifying expressions
- Monomials & polynomials
- Identify monomials and polynomials, like and unlike terms
- Combining like terms
- Add and subtract monomials & polynomials
- Laws of exponents
- Multiply and divide monomials
- Zero and negative exponents
- Factor & expand linear expressions with rational coefficients
- Distributing constants to polynomials
- Distributing monomials to polynomials
- Factoring GCF from polynomials
- Scientific Notation
- Write numbers in scientific notation
- Translate to standard form
- Compare values
- Multiply and divide
- Problem solving
- Problem solving with algebraic expressions
- Relating expressions to real life situations
- Equations & Inequalities
- Translating equations
- Solving & checking equations
- One-step equations
- Addition & subtraction
- Multiplication & division
- Multi-step equations
- Combining like terms
- Distributive property
- Rational coefficients
- Variable on both sides
- One variable in terms of another
- Translating inequalities
- Construct, solve & graph inequalities
- Problem solving – consecutive integer problems
- Ratios and Proportional Relationships
- Writing, comparing and simplifying ratios
- Unit rates & unit costs (including fractions)
- Proportions
- Testing
- Solving
- Rate & distance problems
- Similar figures
- Maps & scale drawings
- Shadow problems
- Proportional relationships
- Identifying their existence (constant of proportionality)
- Graphing on the coordinate plane
- Linear equations (b=0)
- Linear equations ()
- Special cases of linear equations
- Slope
- Percents and Proportional Relationships
- Converting betweenfractions, decimals and percents
- Solve problems involving percent
- Finding original number, new number and percentage
- Proportions
- Equations
- Consumer mathematics – percentage applications
- Sales tax
- Discount
- Commission
- Interest
- Simple
- Compound
- Find the percent of change
- Increase/decrease
- Markup/discount
- Percent error
- Multi-step proportion problems (ratios and percents)
- Geometry
- Identifying angles formed by intersecting lines
- Complementary
- Supplementary
- Vertical
- Adjacent
- Parallel lines cut by a transversal
- Angles in triangles and quadrilaterals
- Interior/exterior
- Classifying polygons
- Perimeter & area
- Regular & complex figures
- Circumference & area of circles
- Surface area and volume
- Prisms
- Cylinders
- Problem solving
- Perimeter and area problems (algebraic)
- Scale geometry drawings
- Identifying the relationship between area and perimeter of proportionate figures
- Missing angles
- Similar polygons
- Probability & Statistics
- Theoretical probability
- Compound events
- Counting principle
- Tree diagrams
- Independent and dependent events
- Theoretical v. experimental
- Experimental & predictions
- Permutations and combinations
- Factorials
- Analyzing statistical graphs
- Measures of center
- Mean, median, mode
- Box & whisker plots
- Measures of variability
- Range, standard deviation
- Statistics and sample populations (making predictions)
- Applications of Algebra and Geometry
- Sets
- Set notation
- Replacement sets
- Number groups
- Union
- Intersection
- Multi-step Equations
- Variables on both sides
- Graphing in the coordinate plane
- y=mx+b
- Number sense
- Square root
- Estimate
- Perfect squares up to 225
- Square root of a monomial
- Simplify radical expressions
- Rationalize denominators of fractions
- Add and subtract multiply and divide
- Solve square root equations
- Cubed root
- Pythagorean theorem
- Law of exponents
- Multiply & divide monomials
- Zero & negative exponents
- Powers of ten
- Scientific notation
- Write numbers in scientific notation
- Translate to standard form
- Compare values
- Multiplying binomials
- Factoring polynomials
- Identifying, solving & graphing quadratic equations
- Geometric Concepts
- Construct & deconstruct geometric figures
*Honors students will have completed the italicized topics earlier in the year.