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 use equivalent fractions as a strategy to add and subtract fractions.

  • 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. 

 

* Sources:  dese.mo.gov (Grade Level Expectations (GLEs))