Unit 1 - LCM/GCF

MN State Standards: 

6.1.1.5 - Factor whole numbers; express a whole number as a product of prime factors with exponents

6.1.1.6 - Determine greatest common factor and least common multiples. Use common factors and common multiples to calculate with fractions and find equivalent fractions.

6.2.2.1 - Apply the associative, commutative and distributive properties and order of operations to generate equivalent expressions and to solve problems involving positive rational numbers.

I Can Statements:

I can factor whole numbers using prime factorization with exponents.

I can use greatest common factors and least common multiples to find equivalent fractions and representations.

I can apply the associative, commutative and distributive properties and use order of operations to generate equivalent expressions and solve problems.

Unit 2 - Rational Numbers

MN State Standards:

6.1.1.1 - Locate positive rational numbers on a number line and plot pairs of positive rational numbers on a coordinate grid.

6.1.1.2 - Compare positive rational numbers represented in various forms. Use the symbols <, >, and =.

6.1.1.4 - Determine equivalences among fractions, decimals and percents; select among these representations to solve problems.

6.1.1.7 - Convert between equivalent representations of positive rational numbers.

I Can Statements:

I can plot rational numbers on a number line and coordinate grid.

I can compare rational numbers using symbols.

I can show how fractions, decimals and percents are equivalent.

I can use greatest common factors and least common multiples to find equivalent fractions and representations.

Unit 3 - Rational Numbers

MN State Standards:

6.1.3.1 - Multiply and divide decimals and fractions, using efficient and generalizable procedures, including standard algorithm.

6.1.3.2 - Use the meanings of fractions, multiplication, division and the inverse relationship between multiplicaiton and division to make sense of procedures for multiplying and dividing fractions.

6.1.3.4 - Solve real-world and mathematical problems requiring arithmetic with decimals, fractions and mixed numbers.

6.1.3.5 - Estimate solutions to problems with whole numbers, fractions and decimals and use the estimates to assess the reasonableness of results in the context of the problem.

I Can Statements:

I can multiply and divide whole numbers, decimals and fractions to solve problems and estimate solutions. 

I can use the inverse relationship to make sense of procedures for multiplying and dividing fractions.

Unit 4 - Percents and Ratios

MN State Standards:

6.1.1.3 - Understand that percent represents parts out of 100 and ratios to 100.

6.1.2.1 - Identify and use ratios to compare quantities; understand that comparing quantities using ratios is not the same as comparing quantities using subtraction.

6.1.2.2 - Apply the relationship between ratios, equivalent fractions, and percents to solve problems in various contexts, including those involving mixtures and concentrations.

6.1.2.3 - Determine the rate for ratios of quantities with different units.

6.1.2.4 - Use reasoning about multiplication and division to solve ratio and rate problems.

6.1.3.3 - Calculate the percent of a number and determine what percent one number is of another.

I Can Statements:

I can show percents and ratios are parts of 100.

I can use ratios, equivalent fractions and percents to compare quantities and solve problems.

I can determine the rate for ratios and use reasoning to solve problems.

I can calculate the percent of any number in real world situations.

Unit 5 - Solving Equations

MN State Standards:

6.2.1.1 - Understand that a variable can be used to represent a quantity that can change, often in relationship to another changing quantity. use variables in various contexts.

6.2.1.2 - Represent the relationship between two varying quantities with function rules, graphs and tables; translate between any two of these representations

6.2.3.1 - Represent real-world or mathematical situations using equations and inequalities involving variables and positive rational numbers.

6.2.3.2 - Solve equations involving positive rational numbers using number sense, properties of arithmetic and the idea of maintaining equality on both sides of the equation. Interpret a solution in the original context and assess the reasonableness of results.

I Can Statements:

I can use a variable to represent a quantity in various contexts.

I can complete a function table and graph the results.

I can represent and solve real world equations and inequalities using variables and properties of arithmetic.

Unit 6 - Area/Perimeter

MN State Standards:

6.3.1.2 - Calculate the area of quadrilaters. Quadrilaterals include squares, rectangles, rhombuses, parallelograms, trapezoids and kites. When formulas are used, be able to explain why they are valid.

6.3.1.3 - Estimate the perimeter and area of irregular figures on a gird when they cannot be decomposed into common figures and use correct units, such as cm and cm2.

I Can Statements:

I can calculate the area of a quadrilateral using appropriate formulas.

I can estimate the perimeter and area of irregular figures on a grid using appropriate units.

Unit 7 - Surface Area/Volume

MN State Standards:

6.3.1.1 - Calculate the surface area and volume of prisms and use appropriate units such as cm2 and cm3. Justify the formulas used. Justification may involve decomposition, nets, or other models.

I Can Statements:

I can calculate the surface area and volume of prisms using appropriate units.

Unit 8 - Angles

MN State Standards:

6.3.2.1 - Solve problems using the relationships between the angles formed by intersecting lines.

6.3.2.2 - Determine missing angle measures in a triangle using the fact that the sum of the interior angles of a triangle is 180 degrees. Use models of triangles to illustrate this fact.

6.3.2.3 - Develop and use formulas for the sums of the interior angles of polygons by decomposing them into triangles.

I Can Statements:

I can solve problems using the relationship between angles formed by intersecting lines.

I can determine missing angles in a triangle and locate interior angles of polygons by breaking them down into triangles.

Unit 9 - Measurement

MN State Standards:

6.3.3.1 - Solve problems in various contexts involving conversion of weights, capacities, geometric measurements and times within measurement systems using appropriate units.

6.3.3.2 - Estimate weight, capacities and geometric measurements using benchmarks in measruement systems with appropriate units.

I Can Statements:

I can solve and estimate problems using conversions between measurement systems.

Unit 10 - Probability

MN State Standards:

6.4.1.1 - Determine the sample space (set of possible outcomes) for a given experiment and determine which members of the sample space are related to certain events. Sample sapce may be determine by the use of tree diagrams, tables or pictorial representations.

6.4.1.2 - Determine the probability of an event using the ratio between the size of teh event adn teh size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1 inclusive. Understand that probabilies measure likelihood.

6.4.1.3 - Perform experiments for situations in which the probabilities are known, compare the resulting relative frequencies with the known probabilities; know that there may be differences.

6.4.1.4 - Calculate experimental probabilities from experiments; represent them as percents, fractions and decimals between 0 and 1 inclusive. Use experimental probabilities to make predictions when actual probabilities are unknown.

I Can Statements:

I can determine the number of possible outcomes in a given event using tree diagrms, tables or pictorial representations.

I can determine the probability of an event and represent it as a percent, decimal, ratio or fraction.

I can demonstrate probabilities using relative frequencies with known probabilities.

I can calculate experimental probabilities and represent them as percents, fractions and decimals.

Unit 11 - Data Analysis

MN State Standards:

NONE - More for test prep and review.

I Can Statements:

I can find the mean, median, mode and range.

I can determine the interquartile range.

I can create a box and whisker plot, histogram, or stem and leaf plot from a set of data.