5th Grade Mathematics Missouri Learning Standards*
According to the Missouri Learning Standards, 5th grade Mathematics instructional time should focus on five critical areas.
NUMBER SENSE AND OPERATIONS IN BASE TEN
Video: Writing a number in expanded form (5:19 mins)
Video: Comparing place values (2:29 mins)
Video: Place value blocks (5:39 mins)
Video: Comparing multi-digit numbers (5:57 mins)
Video: Powers of 10: patterns (5:33 mins)
Video: Rounding whole numbers: missing digit (5:52 mins)
Video: Adding whole numbers by their place values (6:01 mins)
Video: Adding three digit numbers with regrouping (3:03 mins)
Video: Adding three-digit numbers (2:25 mins)
Video: Addition 4 (8:48 mins)
Video: Regrouping whole number place values (6:11 mins)
Video: Subtracting: three digit numbers and regrouping (3:19 mins)
Video: Subtracting: regrouping twice (3:47 mins)
Video: Subtracting: three digit numbers and basic regrouping (2:46 mins)
Video: Level 4 Subtraction (8:47 mins)
Video: Decimals as words (5:37 mins)
Video: Decimals: writing it out in words (3:30 mins)
Video: Introduction to decimals (6:25 mins)
Video: Introduction to multiplying decimals (3:49 mins)
Video: Multiplying decimals: place value and reordering (6:28 mins)
Video: Dividing a decimal by a whole number (2:05 mins)
Video: Dividing decimals completely (6:43 mins)
Video: Dividing a whole number by a decimal (4:19 mins)
I can read, write and identity numbers from billions to thousandths using number names, base ten numerals and expanded form.
I can compare two numbers from billions to thousandths using the symbols >, = or <, and justify the solution.
I can understand that in a multi-digit number, a digit represents 1/10 times what it would represents in the place to its left.
I can evaluate the value of powers of 10 and understand the relationship to the place value system.
I can round numbers from billions to thousandths place.
I can add and subtract multi-digit whole numbers and decimals to the thousandths place, and justify the solution.
I can multiply multi-digit whole numbers and decimals to the hundredths place using up to two-digit divisors and four-digit dividends, and justify the solution.
NUMBER SENSE AND OPERATIONS IN FRACTIONS
Video: Introduction to Fractions (5:40 mins)
Video: Converting fractions to decimals (9:22 mins)
Video: Basic example of rewriting a fraction as a decimal (3:59 mins)
Video: Converting Fractions to Decimals to Percents (12:10 mins)
Video: Fractions To Decimals (10:47 mins)
Video: Converting decimals to fractions 2 (ex 1) (1:13 mins)
Video: Converting decimals to fractions 2 (ex 2) (2:10 mins)
Video: Decimals to Fractions In Simplest Form (22:40 mins)
Video: Percent and decimals (10:26 mins)
Video: Comparing decimals: ordering from smallest to biggest (1:27 mins)
Video: Comparing decimals: ordering from least to greatest (2:38 mins)
Video: Equivalent fractions (5:50 mins)
Video: Equivalent Fractions (10:39 mins)
Video: Solving for the missing fraction (5:39 mins)
Video: Adding and subtracting multiple fractions with unlike denominators (5:22 mins)
Video: Multiplying two fractions: example (2:25 mins)
Video: Dividing fractions (8:58 mins)
Video: Understanding division of fractions (5:41 mins)
Video: Estimation with Decimals (3:00 mins)
I can understand that parts of a whole can be expressed as fractions and/or decimals.
I can convert decimals to fractions and fractions to decimals.
I can compare and order fractions and/or decimals to the thousandths place using the symbols >, = or <, and justify the solution.
I can estimate results of sums, differences and products with fractions and decimals to the thousandth.
I can justify the reasonableness of a product when multiplying with fractions.
I can solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators, and justify the solution.
I can extend the concept of multiplication to multiply a fraction or whole number by a fraction.
I can extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations.
RELATIONSHIPS AND ALGEBRAIC THINKING
Video: Math patterns example 1 (3:37 mins)
Video: Math patterns example 2 (5:40 mins)
Video: Introduction to order of operations (9:39 mins)
Video: Translating expressions with parentheses (9:10 mins)
Video: What are variables, expressions, and equations? (6.54 mins)
I can investigate the relationship between two numeric patterns.
I can write a rule to describe or explain a given numeric pattern.
I can write, evaluate and interpret numeric expressions using the order of operations.
I can translate written expressions into algebraic expressions.
I can solve and justify multi-step problems involving variables, whole numbers, fractions and decimals.
GEOMETRY AND MEASUREMENT
Video: Coordinate plane: graphing points (2:20 mins)
Video: Quadrilaterals: classifying shapes (2:27 mins)
Video: Volume of a rectangular prism: fractional cubes (4:17 mins)
Video: Volume of a rectangular prism: word problem (6:21 mins)
Video: Coordinate plane: quadrants (2:23 mins)
Video: Unit conversion: minutes to hours ( 4:53 mins)
Video: Unit conversion: centimeters to meters (3:03 mins)
I can understand that attributes belonging to a category of figures also belong to all subcategories.
I can classify figures in a hierarchy based on properties.
I can analyze and describe the properties of prisms and pyramids.
I can understand the concept of volume and recognize that volume is measured in cubic units.
I can apply the formulas V = l x w x h and V = B x h for volume of right rectangular prisms with whole-number edge lengths.
I can define a first quadrant Cartesian coordinate system.
I can plot and interpret points in the first quadrant of the Cartesian coordinate plane.
I can convert measurements of capacity, length and weight within a given measurement system.
I can solve multi-step problems that require measurement conversions.
DATA AND STATISTICS
Video: Introduction to line plots (4:00 mins)
Video: How to read a line plot that uses fractions (3:32 mins)
Video: Judging outliers in a dataset (8:20 mins)
I can create a line graph to represent a data set, and analyze the data to answer questions and solve problems.
I can create a line plot to represent a given or generated data set, and analyze the data to answer questions and solve problems, recognizing the outliers and generating the median.