Download Rational numbers

Maths curriculum – I class
Here is a list of all of the skills students learn in the I class! The skills are
organized into categories.
Number theory
1.
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6.
Prime or composite
Prime factorization
Multiplicative inverses
Divisibility rules
Greatest common factor and Least common multiple
Classify numbers
Decimal numbers
1.
2.
3.
4.
Decimal numbers review
Compare and order decimals
Decimal number lines
Round decimals
Operations with decimals
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5.
Add and subtract decimals
Multiply decimals and Divide decimals
Estimate sums, differences, and products of decimals
Multi-step inequalities with decimals
Simplify expressions involving decimals
Integers
1.
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5.
Understanding integers
Integers on number lines
Absolute value and opposite integers
Compare and order integers
Integer inequalities with absolute values
Operations with integers
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Integer addition and subtraction rules
Add and subtract integers
Complete addition and subtraction sentences with integers
Integer multiplication and division rules
Multiply and divide integers
Complete multiplication and division sentences with integers
Simplify expressions involving integers
Fractions and mixed numbers
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7.
Equivalent fractions
Simplify fractions
Least common denominator
Compare and order fractions
Convert between mixed numbers and improper fractions
Compare mixed numbers and improper fractions
Round mixed numbers
Operations with fractions
1.
2.
3.
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5.
Add and subtract fractions
Inequalities with addition and subtraction of fractions and mixed
numbers
Estimate sums and differences of mixed numbers
Multiply fractions and Divide fractions
Divide mixed numbers
Rational numbers
1.
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7.
Identify rational numbers
Convert between decimals and fractions or mixed numbers
Absolute value of rational numbers
Compare rational numbers
Put rational numbers in order
Add and subtract rational numbers
Multiply and divide rational numbers
Percents
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What percentage is illustrated?
Convert between percents, fractions, and decimals
Compare percents to fractions and decimals
Estimate percents of numbers
Percents of numbers and money amounts
Percents of numbers: word problems
Solve percent equations
Percent of change
Compare percents to fractions and decimals
Find what percent one number is of another
Find what percent one number is of another: word problems
Estimate percents of numbers
Percents of numbers and money amounts
Percents of numbers: word problems
Compare percents of numbers
Solve percent equations
Percent of change
Consumer math
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5.
Unit prices: find the total price
Percent of a number: tax, discount, and more
Find the percent: tax, discount, and more
Sale prices: find the original price, find the total price
Multi-step problems with percents
Geometry
1.
2.
3.
4.
5.
6.
7.
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9.
Lines, line segments
Parallel, perpendicular, intersecting
Name, measure, and classify angles
Identify complementary, supplementary, vertical, adjacent, and
congruent angles
Find measures of complementary, supplementary, vertical, and adjacent
angles
Transversal of parallel lines
Classify triangles
Classify quadrilaterals
Find missing angles in triangles and quadrilaterals
10.
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29.
Identify and classify polygons
Interior angles of polygons
Similar and congruent figures
Similar figures: side lengths and angle measures
Similar figures and indirect measurement
Congruent figures: side lengths and angle measures
Congruence statements and corresponding parts
Perimeter
Area of rectangles and parallelograms
Area of triangles and trapezoids
Area and perimeter: word problems
Parts of a circle
Circles: calculate area, circumference, radius, and diameter
Find lengths and measures of bisected lines and angles
Front, side, and top view
Names and bases of 3-dimensional figures
Nets of 3-dimensional figures
Surface area
Volume
Perimeter, area, and volume: changes in scale
Transformations
1.
2.
3.
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6.
7.
Identify reflections, rotations, and translations
Translations: find the coordinates
Reflections: graph the image
Reflections: find the coordinates
Rotations: graph the image
Rotations: find the coordinates
Symmetry
Pythagorean theorem
1.
2.
3.
4.
Pythagorean 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?
Coordinate graphs
1.
2.
3.
Points on coordinate graphs
Quadrants and axes
Coordinate graphs as maps
Variable expressions
1.
2.
3.
4.
5.
Write variable expressions
Evaluate single-variable expressions
Evaluate multi-variable expressions
Evaluate variable expressions for numerators and denominators
Add and subtract like terms
Properties
1.
2.
3.
4.
Properties of addition and multiplication
Distributive property
Simplify variable expressions using properties
Solve equations using properties
Single-variable equations
1.
2.
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5.
Does x satisfy the equation?
Model and solve equations using algebra tiles
Solve one-step linear equations
Solve two-step linear equations
Solve equations involving like terms
Ratios and proportions
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Understanding ratios
Equivalent ratios
Equivalent ratios: word problems
Compare ratios: word problems
Unit rates
Do the ratios form a proportion?
Do the ratios form a proportion: word problems
Solve proportions
Estimate population size using proportions
Rate of change
Constant rate of change
12.
Scale drawings and scale factors
Proportional relationships
1.
2.
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6.
Identify proportional relationships
Find the constant of variation: graphs
Find the constant of variation: word problems
Graph a proportional relationship
Write an equation for a proportional relationship
Proportional relationships: word problems
Inequalities
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4.
Inequalities on number lines
Solutions to variable inequalities
Solve one-step linear inequalities
Solve two-step linear inequalities
Linear functions
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Identify proportional relationships
Find the constant of variation
Does (x, y) satisfy the equation?
Evaluate a function
Complete a function table
Write a rule for a function table
Find points on a function graph
Graph a line from a function table
Graph a line from an equation
Linear function word problems
Find the slope of a graph
Find slope from two points
Find slope from an equation
Graph a line using slope
Identify linear and nonlinear function
Maths curriculum – II class
Exponents and roots
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Understanding exponents
Evaluate exponents
Exponents: solve for the variable
Exponents with negative bases
Exponents with decimal and fractional bases
Understanding negative exponents
Evaluate negative exponents
Multiplication with exponents
Division with exponents
Multiplication and division with exponents
Power rule
Simplify expressions involving exponents
Square roots of perfect squares
Positive and negative square roots
Estimate positive and negative square roots
Relationship between squares and square roots
Evaluate variable expressions involving squares and square roots
Cube roots of perfect cubes
Estimate cube roots
Scientific notation
1.
2.
3.
4.
Convert between standard and scientific notation
Compare numbers written in scientific notation
Multiply numbers written in scientific notation
Divide numbers written in scientific notation
Monomials and polynomials
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Identify monomials
Model polynomials with algebra tiles
Add and subtract polynomials using algebra tiles
Add and subtract polynomials
Add polynomials to find perimeter
Multiply monomials
Divide monomials
Multiply and divide monomials
Powers of monomials
Square and cube roots of monomials
Multiply polynomials using algebra tiles
Multiply polynomials
Multiply polynomials to find area
Pythagorean theorem
5.
Pythagorean theorem: find the length of the hypotenuse
6.
7.
8.
Pythagorean theorem: find the missing leg length
Pythagorean theorem: word problems
Converse of the Pythagorean theorem: is it a right triangle?
3D space
1. Names and parts of 3-dimensional figures
2. Nets of 3-dimensional figures
3. Surface area of prisms and cylinders
4. Surface area of pyramids and cones
5. Volume of prisms and cylinders
6. Volume of pyramids and cones
7. Volume and surface area of spheres
8. Similar solids
9. Volume and surface area of similar solids
10. Perimeter, area, and volume: changes in scale
Statistics
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3.
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6.
Calculate mean, median, mode, and range
Interpret charts to find mean, median, mode, and range
Mean, median, mode, and range: find the missing number
Changes in mean, median, mode, and range
Quartiles
Identify representative, random, and biased samples