Mr. Alongi Math
MMath with Mr. AlongiRequest a Resource

Build the foundation

Algebra Readiness Learning Path

Follow the course learning sequence for number fluency, expressions, equations, fractions, and mathematical relationships.

Start with Units 1 & 2Browse All Resources

The complete course

Four Units, One Learning Path

All units are shown now. Detailed learning resources are being developed in course order.

Unit 1Available now

Fluency Using Numbers

Build flexible mental-math strategies, strengthen whole-number operations, and use number lines to understand integers.

  • Addition and subtraction fluency
  • Multiplication strategies
  • Division strategies
  • Integer number lines
Explore this unit →
Unit 2Available now

Expressions and Equations

Represent real situations with equations, simplify expressions, and solve one-step and multi-step equations.

  • Visual models and variables
  • One-step equations
  • Order of operations
  • Multi-step equations
Explore this unit →
Unit 3Coming later

Equivalence and Fractions

Use visual models to understand equivalent fractions, decimals, place value, comparisons, and equations with rational numbers.

  • Fraction models
  • Equivalent fractions
  • Fractions and decimals
  • Decimal place value
Resources are being developed
Unit 4Coming later

Representing Relationships

Represent rational numbers, graph ordered pairs, explore proportional relationships, find slope, and measure distance on a coordinate plane.

  • Coordinate plane
  • Proportional relationships
  • Slope and unit rate
  • Pythagorean Theorem
Resources are being developed

Current learning sequence

Units 1 and 2

Each target follows the course progression. Existing website resources are linked only where they directly support the skill.

Unit 1

Fluency Using Numbers

Why it matters: Flexible number strategies help students solve problems efficiently and decide whether an answer makes sense.

Learning progression

1

Mental addition and subtraction within 20

Open lesson →

I can:

  • Count on
  • Use doubles and near doubles
  • Make a ten
  • Use place value
  • Use compensation
  • Add up in chunks
2

Whole-number number lines

Open lesson →

I can:

  • Create a number line with whole numbers
  • Use the number line to solve addition and subtraction problems
3

Addition and subtraction within 100

Open lesson →

I can:

  • Add up
  • Remove or count back
  • Use place value and negative numbers
  • Adjust one number to make an easier problem
  • Keep a constant difference
  • Use a number line
4

Larger addition and subtraction

I can:

  • Add and subtract two-digit numbers mentally
  • Add and subtract within 1,000 using strategies
5

Multiply by a one-digit number

I can:

  • Repeated addition or skip counting
  • Friendly numbers
  • Partial products
  • Doubling and halving
  • Break factors into smaller factors
  • Arrays and area models
  • Multiply 1-digit by 1-, 2-, 3-, and 4-digit numbers
6

Multiply two two-digit numbers

I can:

  • Repeated addition or skip counting
  • Friendly numbers
  • Partial products
  • Doubling and halving
  • Break factors into smaller factors
  • Arrays and area models
7

Divide by a one-digit number

I can:

  • Repeated subtraction
  • Partial quotients
  • Multiply up
  • Proportional reasoning
  • Arrays and area models
  • Divide up to a 4-digit number by a 1-digit number
8

Divide by a two-digit number

I can:

  • Repeated subtraction
  • Partial quotients
  • Multiply up
  • Proportional reasoning
  • Arrays and area models
  • Divide up to a 4-digit number by a 2-digit number
9

Positive and negative integers

I can:

  • Create a number line with positive and negative integers
  • Find pairs of opposites, also called additive inverses
  • Use a number line to add and subtract integers
  • Find the distance between two integers
  • Represent distance with subtraction and addition using the additive inverse

Helpful resources already available

Use these pages when they match the skill you are studying.

Integer RulesOpen →Math Symbols GuideOpen →
Unit 2

Expressions and Equations

Why it matters: Equations help us represent real situations, find missing information, and explain our reasoning.

Learning progression

1

Model addition and subtraction equations

6.EE.7

I can:

  • Represent a real-world problem with a visual model
  • Write an equation with a variable
  • Solve a one-step addition or subtraction equation
2

Model multiplication and division equations

6.EE.7

I can:

  • Represent a real-world problem with a visual model
  • Write an equation with a variable
  • Solve a one-step multiplication or division equation
3

Order of operations and multi-step equations

7.EE.3

I can:

  • Apply the order of operations when simplifying an expression
  • Solve a multi-step equation with a variable
  • Solve a multi-step equation with positive and negative integers
4

Check whether an answer is reasonable

7.EE.3

I can:

  • Front-end estimation with adjusting
  • Clustering around an average
  • Rounding and adjusting
  • Friendly numbers
  • Benchmark numbers
5

Rewrite expressions and solve linear equations

8.EE.7b

I can:

  • Use the distributive property
  • Collect or combine like terms
  • Rewrite expressions or equations containing integers
  • Solve a linear equation with an integer coefficient

Helpful resources already available

Use these pages when they match the skill you are studying.

Algebra Visual DictionaryOpen →Word-Problem Translation GuideOpen →Order of OperationsOpen →Properties of OperationsOpen →Integer RulesOpen →