Add and subtract numbers up to 1,000 quickly and easily.

Understand how multiplication works and use strategies to solve multiplication problems up to 100.

Divide numbers into equal groups and solve division problems up to 100.

Round numbers to the nearest 10 or 100.

Measure time, liquid volumes, and weights accurately.

Identify shapes and divide them into equal parts.

Use graphs and charts to show and interpret data.

Solve real-life math problems using addition, subtraction, multiplication, and division.

Understand how to calculate the area and perimeter of shapes.

Recognize fractions as parts of a whole and locate them on a number line.

Work confidently with fractions, decimals, and percentages.

Solve multi-step word problems that involve addition, subtraction, multiplication, and division.

Perform calculations easily with larger numbers and understand factors and multiples.

Divide fractions by fractions and apply previous multiplication and division knowledge.

Understand and use ratios and rates in real-world situations.

Solve problems involving area, surface area, and volume of shapes.

Apply geometry concepts to solve problems related to angles, area, surface area, and volume.

Interpret data by creating and reading scatter plots and solving problems using statistical information.

Use algebraic expressions and variables to solve real-world problems.

Work with the coordinate plane by graphing points and finding distances between them.

Intro to Expressions

Exponents and Radicals

Polynomials

Linear Equations

Linear Inequalities

Systems of Equations and Inequalities

Introduction to Functions

Sequences and Exponential Functions

Piecewise and Transformations

Quadratic Functions

Quadratic Equations

Descriptive Statistics

Adding and subtracting whole numbers quickly and accurately.

Multiplying multi-digit numbers using strategies and understanding the concept of multiplication.

Dividing numbers with up to four digits by one-digit numbers and understanding remainders.

Understanding fractions and converting between fractions and decimals.

Solving word problems involving addition, subtraction, multiplication, and division.

Measuring and converting units of length, weight, and volume.

Understanding and representing data using graphs and charts.

Identifying and classifying geometric shapes based on their properties.

Understanding angles and lines, and measuring them using a protractor.

Reading and interpreting line plots and determining mean, median, mode, and range

Work with fractions, decimals, and integers in math operations.

 Solve equations and inequalities with numbers and variables.

Understand and use percentages, proportions, and ratios.

 Apply geometry concepts to solve problems involving shapes and measurements.

Solve problems using statistical data and understand probability.

Use algebra to work with equations and expressions.

Think logically and solve math problems in real-life scenarios.

Create and analyze scale drawings, understand angles, and perform geometric constructions.

Use math models to solve problems involving rates and ratios.

 Analyze and interpret data represented in graphs and tables.

Intro to Geometry (points, lines, planes, shape basics)

Logic (basic propositional logic to introduce the idea of proofs)

Triangles (properties, congruence, special right triangles, centers) 

Quadrilaterals/Polygons

Circles

Symmetry

Transformations

Constructions

Trigonometry

Adding, subtracting, multiplying, and dividing multi-digit numbers with efficiency and accuracy.

Understanding and applying fractions, including adding, subtracting, multiplying, and dividing fractions.

Solving word problems involving all four operations and using them to solve real-life situations.

Understanding and working with decimals, including rounding, comparing, and converting between decimals and fractions.

Understanding and solving problems involving volume, area, and perimeter of geometric shapes.

Identifying and graphing points on a coordinate plane and understanding how to interpret graphs.

Solving problems involving measurement conversions, including time, length, weight, and capacity.

Analyzing and interpreting data from graphs, tables, and charts.

Recognizing and working with different types of geometric shapes and understanding their properties and relationships.

Applying mathematical principles to solve complex problems and explain reasoning.

Work with radicals and integer exponents

Understand the connections between proportional relationships, lines and linear equations 

Analyze and solve linear equations, and simultaneous linear equations 

Define, evaluate, and compare functions

Use functions to model relationships between quantities 

Understand congruence and similarity 

Understand and apply the Pythagorean theorem 

Solving Equations

Functions

Polynomials

Rational Equations

Exponentials and Logarithms

Trigonometry