22 stages · 199 steps

The ladder

From counting to 10 to quadratics. Grades are a rough guide only: students start where a placement check puts them and move at their own pace.

1Numbers to 10UntimedPreK to K · 9 steps
1. Count to 5
2. Count to 10
3. Trace 1 to 5
4. Trace 6 to 10
5. Write 1 to 10
6. Missing numbers to 10
7. What comes next
8. What comes before
9. Missing numbers review
2Numbers to 120UntimedK to 1 · 9 steps
1. Count on to 30
2. Count on to 50
3. Count on to 120
4. Before and after
5. Count by 10s
6. Count by 5s
7. Count by 2s
8. Number lines
9. Counting on: +1 and +2
3Addition within 10FreeK to 1 · 9 steps
1. Adding 1
2. Adding 2
3. Adding 3
4. Adding 0, 1, 2, 3
5. Doubles
6. Adding 4
7. Adding 5
8. Pairs that make 10
9. All facts to 10
4Addition within 20Grade 1 · 10 steps
1. Adding 4
2. Adding 5
3. Adding 6
4. Adding 7
5. Adding 8
6. Adding 9
7. Doubles and near doubles
8. Teens plus ones
9. All facts to 20
10. Adding three numbers
5Subtraction within 20Grades 1 to 2 · 9 steps
1. Taking away 1 and 2
2. Taking away 3 and 4
3. Taking away from 10
4. Subtraction within 10
5. Teens minus ones
6. Taking away 5, 6, 7
7. Taking away 8 and 9
8. Missing numbers
9. Adding and subtracting to 20
6Two-digit addition and subtractionGrade 2 · 11 steps
1. Tens and ones
2. Adding and subtracting tens
3. Two-digit plus one-digit
4. Two-digit plus two-digit
5. Regrouping with one-digit
6. Regrouping with two-digit
7. Two-digit minus one-digit
8. Two-digit minus two-digit
9. Borrowing with one-digit
10. Borrowing with two-digit
11. Mixed practice
7Multi-digit addition and subtractionGrades 2 to 3 · 11 steps
1. Three-digit addition
2. Regrouping the ones
3. Regrouping the tens
4. Regrouping twice
5. Three-digit subtraction
6. Borrowing from the tens
7. Borrowing from the hundreds
8. Borrowing twice
9. Subtracting across zeros
10. Four-digit numbers
11. Adding columns of numbers
8Multiplication factsGrade 3 · 13 steps
1. Times 2
2. Times 5
3. Times 10
4. Twos, fives, and tens
5. Times 3
6. Times 4
7. Times 0 and 1
8. Times 6
9. Times 7
10. Times 8
11. Times 9
12. Times 11 and 12
13. All facts through 12
9Division factsGrade 3 · 10 steps
1. Dividing by 2, 5, and 10
2. Dividing by 3
3. Dividing by 4
4. Dividing by 6
5. Dividing by 7
6. Dividing by 8
7. Dividing by 9
8. Missing factors
9. All division facts
10. Remainders
10Multi-digit multiplicationGrade 4 · 8 steps
1. Two-digit times one-digit
2. Two-digit times one-digit, regrouping
3. Three-digit times one-digit
4. Four-digit times one-digit
5. Multiplying by 10, 100, 1000
6. Two-digit times two-digit
7. Three-digit times two-digit
8. Three-digit times three-digit
11Long divisionGrades 4 to 5 · 9 steps
1. Two-digit by one-digit
2. Two-digit with remainders
3. Three-digit by one-digit
4. Three-digit with remainders
5. Zeros in the quotient
6. Four-digit by one-digit
7. Dividing by tens
8. Two-digit divisors
9. Four-digit by two-digit
12Factors and multiplesGrades 4 to 5 · 8 steps
1. Divisibility rules
2. Factor pairs
3. Listing factors
4. Prime or composite
5. Prime factorization
6. Greatest common factor
7. Least common multiple
8. GCF and LCM
13Fraction conceptsGrades 4 to 5 · 8 steps
1. Naming fractions
2. Equivalent fractions
3. Simplest form
4. Improper fractions to mixed numbers
5. Mixed numbers to improper fractions
6. Comparing fractions
7. Adding and subtracting, same denominator
8. Sums greater than 1
14Adding and subtracting fractionsGrade 5 · 8 steps
1. Adding: one denominator divides the other
2. Subtracting: one denominator divides the other
3. Adding with a common denominator
4. Subtracting with a common denominator
5. Adding mixed numbers
6. Subtracting mixed numbers
7. Subtracting with borrowing
8. Three fractions
15Multiplying and dividing fractionsGrades 5 to 6 · 8 steps
1. Fraction times a whole number
2. Fraction times a fraction
3. Simplify before multiplying
4. Multiplying mixed numbers
5. Reciprocals
6. Dividing fractions
7. Dividing mixed and whole numbers
8. All four operations
16DecimalsGrades 5 to 6 · 10 steps
1. Decimal place value
2. Decimals and fractions
3. Adding decimals
4. Subtracting decimals
5. Decimal times a whole number
6. Decimal times a decimal
7. Times and divide by 10, 100, 1000
8. Decimal divided by a whole number
9. Dividing by a decimal
10. Rounding decimals
17Percents, ratios, and ratesGrades 6 to 7 · 8 steps
1. Fractions, decimals, and percents
2. Percent of a number
3. What percent?
4. Finding the whole
5. Simplifying ratios
6. Unit rates
7. Proportions
8. Mixed practice
18Integers and order of operationsGrades 6 to 7 · 8 steps
1. Comparing integers
2. Adding integers
3. Subtracting integers
4. Multiplying and dividing integers
5. Exponents
6. Order of operations
7. Order of operations with integers
8. Absolute value
19Expressions and equationsGrades 7 to 8 · 9 steps
1. Evaluating expressions
2. Combining like terms
3. The distributive property
4. One-step equations
5. Two-step equations
6. Variables on both sides
7. Equations with parentheses
8. Equations with fractions and decimals
9. Inequalities
20Linear equations and systemsGrade 8 · 8 steps
1. Slope from two points
2. Slope and y-intercept
3. Reading a graph
4. Equation from a slope and a point
5. Equation from two points
6. Standard form to slope-intercept form
7. Systems: substitution
8. Systems: elimination
21Polynomials and factoringGrades 8 to 9 · 9 steps
1. Exponent rules
2. Adding and subtracting polynomials
3. Monomial times polynomial
4. Multiplying binomials
5. Special products
6. Factoring out the GCF
7. Factoring trinomials
8. Factoring with a leading coefficient
9. Difference of squares
22Radicals, quadratics, and rational expressionsGrade 9 · 7 steps
1. Simplifying square roots
2. Operations with radicals
3. Solving by factoring
4. Completing the square
5. The quadratic formula
6. Simplifying rational expressions
7. Multiplying and dividing rational expressions

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