Class Vii
mandatory maths
A. Number theory
- Rational numbers on number lines
- Rational numbers: equal or not equal
- Compare and order rational numbers using number lines
- Compare rational numbers
- Put rational numbers in order
- Compare and order rational numbers: word problems
- Opposites of rational numbers
- Absolute value of rational numbers
- Add and subtract rational numbers
- Multiply and divide rational numbers
- Rational numbers: find the sign
B. Integers
- Estimate to solve word problems
- Multi-step word problems
- Multi-step word problems: identify reasonable answers
- Word problems with extra or missing information
- Guess-and-check word problems
- Distance/direction to starting point
- Use logical reasoning to find the order
C. Operations with integers
- Write a ratio
- Write a ratio using a fraction
- Write a ratio: word problems
- Which model represents the ratio?
- Identify equivalent ratios
- Write an equivalent ratio
- Ratio tables
- Equivalent ratios: word problems
- Unit rates
- Equivalent rates
- Ratios and rates: complete a table and make a graph
- Use tape diagrams to solve ratio word problems
- Compare ratios: word problems
- Compare rates: word problems
- Ratios and rates: word problems
- Do the ratios form a proportion?
- Solve the proportion
- Identify proportional relationships from graphs
- Identify proportional relationships from tables
- Identify proportional relationships by graphing
- Interpret graphs of proportional relationships
- Scale drawings: word problems
D. Decimals
- Decimal numbers review
- Compare and order decimals
- Decimal number lines
- Round decimals
E. Operations with decimals
- Add and subtract decimals
- Add and subtract decimals: word problems
- Multiply decimals
- Multiply decimals and whole numbers: word problems
- Divide decimals
- Divide decimals by whole numbers: word problems
- Estimate sums, differences, and products of decimals
- Add, subtract, multiply, or divide two decimals
- Add, subtract, multiply, and divide decimals: word problems
- Multi-step inequalities with decimals
- Maps with decimal distances
- Evaluate numerical expressions involving decimals
F. Fractions and mixed numbers
- Understanding fractions: word problems
- Equivalent fractions
- Write fractions in lowest terms
- Fractions: word problems with graphs and tables
- Least common denominator
- Compare and order fractions
- Compare fractions: word problems
- Convert between mixed numbers and improper fractions
- Compare mixed numbers and improper fractions
- Round mixed numbers
G. Operations with fractions
- Add and subtract fractions
- Add and subtract fractions: word problems
- Add and subtract mixed numbers
- Add and subtract mixed numbers: word problems
- Inequalities with addition and subtraction of fractions and mixed numbers
- Estimate sums and differences of mixed numbers
- Multiply fractions and whole numbers
- Multiply two fractions using models
- Multiply fractions
- Multiply mixed numbers
- Multiply fractions and mixed numbers: word problems
- Divide fractions
- Divide mixed numbers
- Divide fractions and mixed numbers: word problems
- Estimate products and quotients of fractions and mixed numbers
- Add, subtract, multiply, and divide fractions and mixed numbers: word problems
- Maps with fractional distances
- Evaluate numerical expressions involving fractions
H. Rational numbers
- Convert fractions or mixed numbers to decimals
- Convert decimals to fractions or mixed numbers
- Convert between decimals and fractions or mixed numbers
- Identify rational numbers
- Classify rational numbers using a diagram
- Classify rational numbers
- Absolute value of rational numbers
- Compare rational numbers
- Put rational numbers in order
- Add and subtract positive and negative decimals
- Add and subtract positive and negative fractions
- Add and subtract rational numbers
- Rational numbers: find the sign
- Apply addition and subtraction rules
- Identify quotients of rational numbers: word problems
- Multiply and divide positive and negative decimals
- Multiply and divide positive and negative fractions
- Multiply and divide rational numbers
- Apply multiplication and division rules
I. Exponents and square roots
- Understanding exponents
- Evaluate exponents
- Solve equations with variable exponents
- Exponents with negative bases
- Exponents with decimal and fractional bases
- Powers of ten
- Evaluate numerical expressions involving exponents
- Square roots of perfect squares
- Estimate square roots
J. Ratios, rates, and proportions
- Understanding ratios
- Identify equivalent ratios
- Write an equivalent ratio
- Equivalent ratios: word problems
- Unit rates
- Calculate unit rates with fractions
- Compare ratios: word problems
- Compare rates: word problems
- Do the ratios form a proportion?
- Do the ratios form a proportion: word problems
- Solve proportions
- Solve proportions: word problems
- Estimate population size using proportions
- Rate of change: tables
- Rate of change: graphs
- Constant rate of change
K. Proportional relationships
- Find the constant of proportionality from a table
- Write equations for proportional relationships from tables
- Identify proportional relationships by graphing
- Find the constant of proportionality from a graph
- Write equations for proportional relationships from graphs
- Identify proportional relationships from graphs and equations
- Identify proportional relationships from tables
- Complete a table and graph a proportional relationship
- Graph a proportional relationship: word problems
- Interpret graphs of proportional relationships
- Write and solve equations for proportional relationships
L. Percents
- What percentage is illustrated?
- Convert between percents, fractions, and decimals
- Compare percents to fractions and decimals
- Estimate percents of numbers
- Solve percent problems using strip models
- Percents of numbers and money amounts
- Percents of numbers: word problems
- Solve percent equations
- Solve percent equations: word problems
- Percent of change
- Percent of change: word problems
- Percent of change: find the original amount word problems
- Percent error: word problems
M. Consumer math
- Add, subtract, multiply, and divide money amounts: word problems
- Price lists
- Unit prices
- Unit prices with unit conversions
- Unit prices: find the total price
- Percent of a number: tax, discount, and more
- Which is the better coupon?
- Find the percent: tax, discount, and more
- Sale prices: find the original price
- Multi-step problems with percents
- Estimate tips
- Simple interest
- Compound interest
N. Problem solving and estimation
- Estimate to solve word problems
- Multi-step word problems with positive rational numbers
- Multi-step word problems: identify reasonable answers
- Guess-and-check word problems
- Use Venn diagrams to solve problems
- Find the number of each type of coin
- Elapsed time word problems
O. Units of measurement
- Estimate customary measurements
- Estimate metric measurements
- Compare and convert customary units
- Mixed customary units
- Compare and convert metric units
- Convert between customary and metric systems
- Precision
- Celsius and Fahrenheit temperatures
P. Coordinate plane
- Coordinate plane review
- Quadrants and axes
- Follow directions on a coordinate plane
- Distance between two points
Q. Number sequences
- Identify arithmetic and geometric sequences
- Arithmetic sequences
- Geometric sequences
- Number sequences: mixed review
- Number sequences: word problems
- Evaluate variable expressions for number sequences
- Write variable expressions for arithmetic sequences
R. Expressions and properties
- Write variable expressions: one operation
- Write variable expressions: two or three operations
- Write variable expressions: word problems
- Evaluate linear expressions
- Evaluate multi-variable expressions
- Evaluate absolute value expressions
- Evaluate nonlinear expressions
- Identify terms and coefficients
- Sort factors of variable expressions
- Properties of addition and multiplication
- Simplify expressions by combining like terms: with algebra tiles
- Simplify expressions by combining like terms
- Multiply using the distributive property: area models
- Multiply using the distributive property
- Write equivalent expressions using properties
- Add and subtract linear expressions
- Add and subtract like terms: with exponents
- Factor linear expressions: area models
- Factors of linear expressions
- Identify equivalent linear expressions using algebra tiles
- Identify equivalent linear expressions I
- Identify equivalent linear expressions II
- Identify equivalent linear expressions: word problems
S. One-variable equations
- Which x satisfies an equation?
- Write an equation from words
- Solve equations using properties
- Model and solve equations using algebra tiles
- Write and solve equations that represent diagrams
- Solve one-step equations
- Solve two-step equations without parentheses
- Solve two-step equations with parentheses
- Solve two-step equations
- Choose two-step equations: word problems
- Solve two-step equations: word problems
- Solve equations involving like terms
- Solve equations: complete the solution
T. One-variable inequalities
- Identify arithmetic and geometric sequences
- Arithmetic sequences
- Geometric sequences
- Number sequences: mixed review
- Number sequences: word problems
- Evaluate variable expressions for number sequences
- Write variable expressions for arithmetic sequences
U. Two-variable equations
- Solutions to inequalities
- Graph inequalities on number lines
- Write inequalities from number lines
- Solve one-step inequalities
- Graph solutions to one-step inequalities
- One-step inequalities: word problems
- Solve two-step inequalities
- Graph solutions to two-step inequalities
V. Linear functions
- Find the slope from a graph
- Find the slope from two points
- Find a missing coordinate using slope
- Find the slope from an equation
- Graph a line using slope
- Write a linear equation from a graph
- Identify linear and nonlinear functions
W. Two-dimensional figures
- Identify and classify polygons
- Name, measure, and classify angles
- Classify triangles
- Triangle inequality
- Identify trapezoids
- Classify quadrilaterals I
- Classify quadrilaterals II
- Graph triangles and quadrilaterals
- Find missing angles in triangles
- Find missing angles in triangles using ratios
- Find missing angles in quadrilaterals I
- Find missing angles in quadrilaterals II
- Interior angles of polygons
- Lines, line segments, and rays
- Parallel, perpendicular, and intersecting lines
- Identify complementary, supplementary, vertical, and adjacent angles
- Find measures of complementary, supplementary, vertical, and adjacent angles
- Write and solve equations using angle relationships
- Identify alternate interior and alternate exterior angles
- Transversals of parallel lines: name angle pairs
- Transversals of parallel lines: find angle measures
- Find lengths and measures of bisected line segments and angles
- Parts of a circle
- Central angles of circles
X. Three-dimensional figures
- Bases of three-dimensional figures
- Nets of three-dimensional figures
- Front, side, and top view
- Cross sections of three-dimensional figures
Y. Geometric measurement
- Find the slope from a graph
- Find the slope from two points
- Find a missing coordinate using slope
- Find the slope from an equation
- Graph a line using slope
- Write a linear equation from a graph
- Identify linear and nonlinear functions
Z. Scaled drawings
- erimeter
- Area of rectangles and parallelograms
- Area of triangles and trapezoids
- Area and perimeter: word problems
- Circumference of circles
- Area of circles
- Circles: word problems
- Area of semicircles and quarter circles
- Semicircles: calculate area, perimeter, radius, and diameter
- Quarter circles: calculate area, perimeter, and radius
- Area of compound figures made of rectangles
- Area of compound figures with triangles
- Area of compound figures with triangles, semicircles, and quarter circles
- Area between two shapes
- Surface area of cubes and prisms
- Surface area of pyramids
- Surface area of cylinders
- Volume of cubes and prisms
- Volume of cubes and rectangular prisms: word problems
- Volume of prisms: advanced
- Volume of pyramids
- Volume of cylinders
AA. Transformations and congruence
- Line symmetry
- Rotational symmetry
- Rotational symmetry: amount of rotation
- Identify reflections, rotations, and translations
- Describe a sequence of transformations
- Translations: graph the image
- Translations: find the coordinates
- Reflections over the x- and y-axes: graph the image
- Reflections over the x- and y-axes: find the coordinates
- Reflections: graph the image
- Reflections: find the coordinates
- Rotations: graph the image
- Rotations: find the coordinates
- Similar and congruent figures
- Congruence statements and corresponding parts
- Side lengths and angle measures of congruent figures
- Side lengths and angle measures of similar figures
- Similar figures and indirect measurement
Y. Geometric measurement
- Find the slope from a graph
- Find the slope from two points
- Find a missing coordinate using slope
- Find the slope from an equation
- Graph a line using slope
- Write a linear equation from a graph
- Identify linear and nonlinear functions
Z. Scaled drawings
- erimeter
- Area of rectangles and parallelograms
- Area of triangles and trapezoids
- Area and perimeter: word problems
- Circumference of circles
- Area of circles
- Circles: word problems
- Area of semicircles and quarter circles
- Semicircles: calculate area, perimeter, radius, and diameter
- Quarter circles: calculate area, perimeter, and radius
- Area of compound figures made of rectangles
- Area of compound figures with triangles
- Area of compound figures with triangles, semicircles, and quarter circles
- Area between two shapes
- Surface area of cubes and prisms
- Surface area of pyramids
- Surface area of cylinders
- Volume of cubes and prisms
- Volume of cubes and rectangular prisms: word problems
- Volume of prisms: advanced
- Volume of pyramids
- Volume of cylinders
AA. Transformations and congruence
- Line symmetry
- Rotational symmetry
- Rotational symmetry: amount of rotation
- Identify reflections, rotations, and translations
- Describe a sequence of transformations
- Translations: graph the image
- Translations: find the coordinates
- Reflections over the x- and y-axes: graph the image
- Reflections over the x- and y-axes: find the coordinates
- Reflections: graph the image
- Reflections: find the coordinates
- Rotations: graph the image
- Rotations: find the coordinates
- Similar and congruent figures
- Congruence statements and corresponding parts
- Side lengths and angle measures of congruent figures
- Side lengths and angle measures of similar figures
- Similar figures and indirect measurement
BB. Pythagorean theorem
- ythagorean theorem: find the length of the hypotenuse
- Pythagorean theorem: find the missing leg length
- Pythagorean theorem: word problems
- Converse of the Pythagorean theorem: is it a right triangle?
CC. Data and graphs
- Interpret tables
- Interpret line plots
- Create line plots
- Create and interpret line plots with fractions
- Interpret stem-and-leaf plots
- Create stem-and-leaf plots
- Interpret bar graphs
- Create bar graphs
- Interpret histograms
- Create histograms
- Create frequency charts
- Interpret circle graphs
- Circle graphs and central angles
- Interpret line graphs
- Create line graphs
- Box plots
- Identify trends with scatter plots
- Make predictions with scatter plots
DD. Statistics
- Calculate mean, median, mode, and range
- Interpret charts and graphs to find mean, median, mode, and range
- Mean, median, mode, and range: find the missing number
- Changes in mean, median, mode, and range
- Calculate mean absolute deviation
- Calculate quartiles and interquartile range
- Identify an outlier
- Identify representative, random, and biased samples
EE. Probability
- Probability of simple events
- Probability of simple events and opposite events
- Probability of mutually exclusive events and overlapping events
- Experimental probability
- Make predictions using experimental probability
- Use collected data to find probabilities and make predictions
- Make predictions using theoretical probability
- Compound events: find the number of outcomes
- Compound events: find the number of sums
- Probability of compound events
- Which simulation represents the situation?
- Identify independent and dependent events
- Probability of independent and dependent events
- Find the number of outcomes: word problems
