Download Fourth Grade Math Parent-Friendly Curriculum

FOURTH GRADE
MATH
ESSENTIAL KNOWLEDGE AND SKILLS
Glenview District 34’s curriculum is aligned with the Common Core State Standards
​
(http://www.corestandards.org/read-the-standards/
​
).
STRAND: GEOMETRY
Identify one-dimensional figures (ray, line, line segment) within two dimensional
figures.
Draw (see vocabulary) figures.
Identify right, acute, and obtuse angles.
Classify shapes based on attributes (see vocabulary).
Identify right triangles.
Recognize a line of symmetry.
Draw lines of symmetry.
Identify line-symmetric figures.
STRAND: MEASUREMENT AND DATA
Compare units within a system of measurement (i.e. in, ft, miles, cm, m, km, oz, pints,
gallons).
Convert between different units of measure within one measurement system.
Record measurement equivalents in a conversion table (i.e. T-Chart) and as number
pairs (coordinate pairs).
Use addition, subtraction, multiplication and division to solve word problems involving
distances, time, masses, and money.
Use addition, subtraction, multiplication, and division to solve word problems involving
simple fractions or decimals.
Solve problems that require unit conversion. (i.e., larger unit to a smaller unit within
one system, km to m, inches to yards, etc.)
Represent measurements using a diagram, measurement scale, and/or number lines
(i.e., ruler, yardstick, etc.).
Use and apply area formula in real world application situations.
Use and apply perimeter in real world application situations.
Create a line plot that displays fractions of a unit.
Solve problems with addition and subtraction of fractions by using a line plot (see insect
example).
Understand that 1/360 of a circle is a one degree angle.
Understand that an angle measure is a fraction of a circular arc.
Recognize angles as geometric shapes formed by two rays with a common endpoint.
Understand that n/360 of a circle is an n degree angle.
Measure angles to the nearest degree with a protractor.
Draw angles of a given measure with a protractor.
Recognize that angle measures add to each other without overlapping to make a larger
angle.
Recognize that angle measures can be broken into smaller additive parts.
Solve addition and subtraction problems (using a diagram/picture of an angle) to find an
unknown angle by using an equation with a symbol for the unknown.
STRAND: NUMBERS AND OPERATIONS BASE TEN
Name each place value.
Recognize the multiplicative relationship between each place value (i.e., the tens place
is 10x the ones place, 700/70=10, etc.).
Read and write multi-digit whole numbers using base-ten numerals, number names, and
expanded form.
Compare two multi-digit numbers based on the digits in each place using , =.
Round whole numbers to place values up to the millions.
Use automaticity to add and subtract multi-digit whole numbers
Accurately add multi-digit whole number using an algorithm.
Accurately subtract multi-digit whole number using an algorithm.
Multiply multi-digit numbers.
Explain or justify their reasoning behind their strategy for multiplying.
Divide to find whole-number quotients and remainders.
Illustrate the strategy used for dividing and explain using equations, arrays, or area
models.
STRAND: NUMBER AND OPERATIONS- FRACTIONS
Explain why fractions are equivalent using visual models. (n x a)/(n x b)
Recognize and generate equivalent fractions.
Compare fractions by creating common denominators or numerators.
Compare fractions by comparing them to benchmark fractions like 1/2.
Justify comparisons between two fractions, possibly by using a visual model.
Compare fractions with different numerators and denominators.
Understand that fractions are additive and referring to the same whole.
Add and subtract mixed numbers with like denominators.
Solve word problems using the addition and subtraction of fractions with like
denominators using visuals and symbols.
Decompose a fraction (a/b) with a>1 into its respective parts using visuals and symbols
(i.e., 3/8 = 1/8 + 1/8 + 1/8).
Multiply a fraction by a whole number.
Use a visual model to clarify thinking.
Understand that multiplication of a fraction by a whole number is simply repeated
addition of the fraction.
Solve word problems with multiplication of whole number and a fraction.
Apply and extend previous understandings of multiplication to multiply a fraction by a
whole number.
Justify word problem strategy with visual models and equations.
Understand that a/b is a multiple of 1/b.
Identify answer on a number line.
Find equivalent fractions for denominators 10 and 100. Add two fractions with these
denominators based on place value.
Use decimal notations for fractions with denominators 10 or 100.
Use the number line to show decimal notation.
Compare two decimals when they both refer to the same whole.
STRAND: OPERATIONS AND ALGEBRAIC THINKING
Interpret a multiplication equation as a comparison (relation) between two sides.
Represent verbal statements as multiplication equations using a relation symbol (>,
Understand and apply the multiplicative and additive properties (commutative,
associative, distributive).
Use drawings to solve word problems involving multiplication.
Use equations and symbols (including a symbol for the unknown) to solve word
problems involving multiplication.
Distinguish between multiplicative and additive comparison.
Use parentheses to solve equations.
Represent multi step word problems with a letter standing for the unknown quantity.
Solve multistep word problems (all operations) with whole numbers (including division
problems using remainders).
Determine if a whole number 1-100 is prime or composite.
Find all factor pairs for whole numbers in the range of 1-100.
Determine if a number is a multiple of a given one-digit number.
Generate a number/shape pattern following a rule.
Finding other patterns within a given rule.