IXL Math - Connecticut fifth-grade math standards

IXL Math

Tell a friend | User guide | Help

Create an account

$CT Flag$

Connecticut

Skills available for Connecticut fifth-grade math standards

Connecticut math standards: 2008 Connecticut Grade Level Expectations (Grades PK-5)

Connecticut math standards: 2006 CMT and CAPT Documents (Grades 3-5)

Standards are in black and IXL math skills are in blue. Hold your mouse over the name of a skill to view a sample problem. Click on the name of a skill to practice that skill.

Printable version

5.A Algebraic Reasoning: Patterns and Functions

5.A.1 Represent, extend and compare geometric and numeric patterns using words, tables, graphs and equations.
5.A.2 Analyze patterns and data to make generalizations, make predictions and to identify trends.
5.A.3 Represent and describe mathematical relationships using variables or symbols in expressions, equations and inequalities
5.A.4 Describe how a change in one variable relates to a change in a second variable in context.
- Algebra: Function tables (Fifth grade - P.7)
- Algebra: Write linear functions (Fifth grade - P.9)
5.A.5 Replace variables or symbols in algebraic expressions with given values and evaluate or simplify the expression, e.g., If ___ =5, find the value of 4 x ___ +7.
- Algebra: Evaluate variable expressions (Fifth grade - P.3)
- Algebra: Evaluate functions (Fifth grade - P.11)
5.A.6 Model, write and solve one-step equations by using appropriate concrete materials that model equivalence, e.g., If 4 x ___ = 36, then ___ equals 9.

5.N Numerical and Proportional Reasoning

5.N.1 Compare, order and round whole numbers to 1,000,000 using number patterns, number lines and diagrams.
5.N.2 Represent whole numbers up to 1,000,000 in expanded and regrouped forms and use the forms to support computation.
- Place value and number sense: Place values (Fifth grade - A.1)
- Place value and number sense: Convert between place values (Fifth grade - A.2)
5.N.3 Construct and use models, number patterns and pictorial representations to extend place value concepts and patterns to decimals, e.g., 0.1 is one-tenth of one and 0.01 is one one-hundredth of one and one-tenth of 0.1.
5.N.4 Investigate negative integers (values less than zero) using place value models, diagrams and number lines and represent negative integers in practical applications, e.g. temperatures, money and locations below sea level.
5.N.5 Classify numbers as prime, composite or perfect squares and identify factor pairs using rectangular arrays.
5.N.6 Represent equivalent fractions, decimals, ratios and percents using models, pictures, number patterns and common factors.
5.N.7 Choose and use benchmarks to approximate locations, of fractions, mixed numbers and decimals, on number lines and coordinate grids.
5.N.8 Write division problems in fraction form and round the fraction form to estimate an answer to a division problem, e.g., 14/3 = 4 2/3 = 5.
- Fractions and mixed numbers: Convert between improper fractions and mixed numbers (Fifth grade - L.4)
- Fractions and mixed numbers: Round mixed numbers (Fifth grade - L.10)
5.N.9 Use models and pictures to identify and compare ratios and represent ratios in equivalent fraction and decimal forms.
5.N.10 Solve practical problems involving 10, 100, 1,000 and 10,000 more or less than a number.
- Mixed operations: Mentally add and subtract numbers ending in zeroes (Fourth grade - F.6)
5.N.11 Estimate products and missing factors using multiples of 10, 100 and 1,000.
- Multiplication: Estimate products (Fifth grade - F.8)
- Multiplication: Estimate products: word problems (Fifth grade - F.9)
5.N.12 Develop and use strategies involving place value relationships, inverse operations and algebraic properties (commutative, associative and distributive) to simplify addition, subtraction and multiplication problems with three-, four- and five-digit numbers and money amounts and division by one-digit factors.
5.N.13 Multiply and divide decimals and money amounts by whole numbers.
5.N.14 Write and solve multistep problems for all four operations involving multidigit whole numbers and money amounts and explain how answers were determined, orally and in writing.
5.N.15 Find fractional parts of a set by using estimation, counting, grouping of objects, number patterns, equivalent ratios and division.
5.N.16 Add and subtract fractions, decimals and mixed numbers using a variety of strategies, e.g., models, mental math, equivalence and substitution: 1/2 + 3/4 can also be solved using 0.5 + 0.75.
5.N.17 Construct and use models and pictorial representations to multiply common fractions and mixed numbers by whole numbers.
5.N.18 Use ratios and proportions to solve practical problems, e.g., interpreting scale drawings and maps and determining the probability of an event.
5.N.19 Use estimation to predict results and to recognize when an answer is or is not reasonable, or will result in an overestimate or underestimate and explain the reasoning used orally and in writing.

5.G Geometry and Measurement

5.G.1 Represent the surface of three-dimensional solids using two-dimensional nets.
- Geometry: Nets of 3-dimensional figures (Fifth grade - B.10)
5.G.2 Develop formulas for finding the perimeter and area of squares, rectangles and triangles and use them to solve problems.
5.G.3 Use the attributes of parallel sides, perpendicular sides, congruent sides/angles, number and length of sides or faces and number and kinds of angles (right, acute or obtuse) to describe, classify and sort polygons and solids (cube, prism, pyramid and sphere).
5.G.4 Make and test conjectures about polygons using geometric relationships.
5.G.5 Use an x, y coordinate system to plot points, to estimate the distance between points and to determine the horizontal or vertical distance between two points.
5.G.6 Analyze and describe the effect that changing the dimensions (perimeter) of a polygon has on its area and vice versa.
- Geometry: Area of compound figures (Fifth grade - B.18)
- Geometry: Area and perimeter of irregular figures (Fifth grade - B.19)
5.G.7 Use calendars and clocks to plan and sequence events and to solve problems involving the conversion of measures of time and elapsed time using days, hours, minutes and seconds.
5.G.8 Estimate and measure to solve a variety of problems that involve angles, length, area, weight, mass, temperature, capacity and volume in either metric or customary units explain the reasoning used orally and in writing.
5.G.9 Use cubic inch or cubic centimeter models to find the volume of rectangular solids.
- Geometry: Volume (Fifth grade - B.21)
5.G.10 Solve length problems involving conversions of measure within the customary (inches, feet, yards and miles) or metric systems (millimeters, centimeters, meters and kilometers).

5.D Working with Data: Probability and Statistics

5.D.1 Represent sets of data using line plots, bar graphs, double bar graphs, pictographs, simple circle graphs, stem and leaf plots and scatter plots.
- Data, charts, and graphs: Line graphs (Fifth grade - R.2)
- Data, charts, and graphs: Bar graphs (Fifth grade - R.3)
5.D.2 Compare different representations of the same data set and evaluate how well each kind of display represents the features of the data.
- Data, charts, and graphs: Choose the best type of graph (Fifth grade - R.9)
5.D.3 Design and conduct surveys of a representative sample of a population and use the data collected to begin to make inferences about the general population.
5.D.4 Determine the mean, mode and median of a data set and explain in writing, how they are affected by a change in the data set.
5.D.5 Design and conduct probability experiments and simple games of chance to test predictions about outcomes and fairness.
5.D.6 Determine and describe possible outcomes and express the likelihood of events as a fraction.
5.D.7 Determine and describe possible outcomes using permutations, where order does matter, e.g., when there is a choice of vanilla (V), chocolate (C) or strawberry (S) ice cream for a three-scoop cone, there are two possible ways to have the chocolate scoop on top CVS or CSV.
- Problem solving: Find the order (Fifth grade - J.4)
- Probability and statistics: Combinations (Fifth grade - X.6)