Teach To One Roadmaps - Math Skills

# 4th Grade

## Fill in the gaps with grade level roadmaps

Target the precise skills and concepts each student needs.

We’ve developed a system of organizing the 300 skills a student must learn cumulatively in order to be Algebra-ready. The skills and concepts covered in *Teach to One Roadmaps *allow students to gain unlearned, prerequisite skills while still advancing at grade level.

Browse the skills and concepts covered in each grade level below.

## Grade 4

### Adding & Subtracting Large Numbers

- I will subtract large whole numbers.
- I will add large whole numbers.

### Whole Numbers

- I will round whole numbers to the nearest ten, hundred, or thousand.
- I will compare whole numbers up to millions.
- I will read and write whole numbers up to millions using base-ten numerals, number names, and expanded form.

### Basic Multiplication

- I will identify and use the distributive property of multiplication over addition, relating it to area models.
- I will calculate and list multiples of whole numbers.
- I will multiply large whole numbers by one-digit whole numbers using area models to represent partial products.
- I will multiply 2-digit by 2-digit numbers using area models to represent partial products.

### Multiplying & Dividing

- I will divide large whole numbers by one-digit whole numbers and explain remainders within context.
- I will make sense of multiplicative comparisons.
- I will understand the value of a single digit in a multi-digit whole number and explain the relationship between digits.

### Understanding Area

- I will explore the relationship between the perimeter and area of rectangles.
- I will recognize area as additive and find the area of polygons composed of rectangles.

### Comparing Fractions

- I will compare and order fractions using the math symbols <, >, and =.
- I will compare decimals using models.

### Decomposing Fractions

- I will decompose a fraction or mixed number into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation.
- I will add and subtract fractions with like denominators.
- I will add and subtract mixed numbers with like denominators.
- I will understand a fraction as a multiple of a unit fraction.
- I will recognize and generate equivalent products of fractions and whole numbers.

### Fraction Equivalence

- I will create equivalent fractions and explain fraction equivalence.
- I will understand decimals are part of a whole and express decimals as fractions to tenths or hundredths.
- I will use fraction equivalence to add fractions with denominators of 10 and 100.

### Data Displays

- I will create line plots to display a data set measured in fractions to solve problems using addition and subtraction.

### Basic Algebraic Thinking

- I will generate a number or shape pattern that follows a given rule and identify features of the pattern.
- I will define, identify, and use the commutative and associative properties of addition and multiplication.
- I will identify all the factors of a given whole number and identify prime and composite numbers.
- I will solve word problems involving operations with whole numbers.

### Geometry Fundamentals

- I will draw and measure angles and classify angles as acute, obtuse, right, and straight.
- I will identify and draw intersecting, perpendicular, and parallel lines.
- I will identify and classify lines, line segments, rays, and angles.
- I will understand angles measured in degrees as a fraction of a circle.
- I will solve addition and subtraction problems to find unknown angles.
- I will identify and draw lines of symmetry in a figure.

### Unit Conversions

- I will convert customary units of length.
- I will convert customary units of weight.
- I will convert customary units of capacity.
- I will convert metric units of length.
- I will convert metric units of mass and capacity.
- I will solve problems related to elapsed time.

### Representing Fractions

- I will add and subtract fractions with like denominators using models.

## Grade 3

### Basic Multiplication

- I will multiply one-digit whole numbers by multiples of 10.

### Multiplying & Dividing

- I will solve word problems involving multiplication and division.

### Comparing Fractions

- I will compare fractions with the same numerator or denominator.

### Fraction Equivalence

- I will recognize and generate equivalent fractions using visual models.
- I will recognize and generate fractions and whole numbers that are equivalent.

### Basic Algebraic Thinking

- I will solve two-step word problems using all four operations.

### Multiplication and Division Fundamentals

- I will determine an unknown whole number in a multiplication or division equation.
- I will understand multiplication and know multiplication facts up to 10 times 10.
- I will interpret division as equal shares and know division facts with one-digit numbers.

### Representing Fractions

- I will describe fractions using numbers, words, and pictures.
- I will represent fractions on a number line.

### Addition & Subtraction

- I will add numbers within 1000 using a variety of strategies.
- I will subtract numbers within 1000 using a variety of strategies.

### Measuring Rectangles

- I will develop and use a formula for finding the area of rectangles.
- I will use a ruler to measure to the nearest inch or fraction of an inch.
- I will calculate the perimeter of regular or irregular polygons and solve problems involving perimeter.
- I will understand the concept of area and find area of figures by counting square units.

## Grade 2

### Whole Numbers

- I will read and write numbers to 1,000 using base-ten numerals, number names, and expanded form.
- I will compare two three-digit numbers.

### Data Displays

- I will read and interpret different types of graphs.

### Representing Fractions

- I will partition shapes and describe the shares using halves, thirds, and fourths.

### Addition & Subtraction

- I will find sums and differences within 100 and represent them on the number line.