Gizmos for North Dakota - Mathematics: 4th Grade (Content Standards adopted 2023)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

4.NO: : Number and Operations: Learners will develop a foundational understanding of the number system, operations, and computational fluency to create connections and solve problems within and across concepts.

4.NO.CC: : Counting and Cardinality: Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.

4.NO.CC.1: : Read numbers to the millions place, including word, standard, and expanded form. Write numbers to the millions place, including standard and expanded form.

4.NO.NBT: : Base Ten: Learners will understand the place value structure of the base-ten number system and represent, compare, and perform operations with multi-digit whole numbers and decimals.

4.NO.NBT.1: : Understand that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

4.NO.NBT.2: : Compare two numbers to the millions place and decimals to the hundredths place, using symbols >, <, and =. Justify comparisons based on the value of the digits.

4.NO.NBT.3: : Apply place value understanding to round multi-digit whole numbers to any place.

4.NO.NBT.4: : Add and subtract multi-digit whole numbers to the one millions place using strategies, including the algorithm.

4.NO.NBT.5: : Multiply a whole number of up to four digits by a one-digit whole number and multiply two two-digit numbers. Show and justify the calculation using equations, rectangular arrays, and models.

4.NO.NBT.6: : Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors using place value strategies. Show and justify the calculation using equations, rectangular arrays, and models.

4.NO.NF: : Fractions: Learners will understand fractions and equivalency to represent, compare, and perform operations of fractions and decimals.

4.NO.NF.1: : Express equivalent fractions with a denominator of 10 and a denominator of 100 to generate a decimal notation.

4.NO.NF.2: : Explain and demonstrate how a mixed number is equivalent to a fraction greater than one and how a fraction greater than one is equal to a mixed number using visual fraction models and reasoning strategies (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).

4.NO.NF.3: : Generate equivalent fractions using numerical representations, visual representations, and number lines (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).

4.NO.NF.4: : Demonstrate how equivalent fractions are generated by multiplying a fraction equivalent to 1 or the properties of multiplication (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).

4.NO.NF.5: : Compare and order fractions having, unlike numerators or denominators. Record comparisons using the symbols >, <, and =. Justify using a visual fraction model (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).

4.NO.NF.6: : Solve authentic word problems by adding and subtracting fractions and mixed numbers with like denominators (proper and improper fractions limited to denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100).

4.AR: : Algebraic Reasoning: Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adopting approaches and solutions in novel situations.

4.AR.OA: : Operations and Algebraic Thinking: Learners will analyze patterns and relationships to generate and interpret numerical expressions.

4.AR.OA.1: : Automatically multiply and divide through 10 × 10.

4.AR.OA.2: : Identify and apply the properties of operations for addition, subtraction, multiplication, and division and justify thinking.

4.AR.OA.3: : Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.

4.AR.OA.4: : Find factor pairs and multiples within the range of 1-36 while classifying numbers as prime or composite.

4.AR.OA.5: : Interpret multiplication equations as a comparison. Represent multiplicative comparisons as multiplication equations.

4.AR.OA.6: : Generate a number or shape pattern that follows a given rule while identifying apparent features of the pattern that were not explicit in the rule itself.

4.GM: : Geometry and Measurement: Learners will use visualization, spatial reasoning, geometric modeling, and measurement to investigate the characteristics of figures, perform transformations, and construct logical arguments.

4.GM.G: : Geometry: Learners will compose and classify figures and shapes based on attributes and properties and represent and solve problems using a coordinate plane.

4.GM.G.1: : Identify, label, and draw points, lines, line segments, rays, and angles (right, acute, obtuse).

4.GM.G.2: : Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of specified size.

4.GM.M: : Measurement: Learners will represent and calculate measurement data, including time, money, and geometric measurement, and convert like measurement units within a given system.

4.GM.M.1: : Know the relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb., oz.; l, ml; hr., min., sec. Record measurement equivalents in a two-column table.

4.GM.M.2: : Generate simple conversions from a larger unit to a smaller unit to solve authentic problems within a single system of measurement, both customary and metric systems.

4.GM.M.3: : Identify and use the appropriate tools, operations, and units of measurement, both customary and metric, to solve problems involving time, length, weight, mass, and capacity.

4.GM.M.5: : Apply the area and perimeter formulas for rectangles, including connected rectangular figures, in problems.

4.GM.M.7: : Recognize angle measures as additive and solve addition and subtraction problems to find unknown angles on a diagram.

4.DPS: : Data, Probability, and Statistics: Learners will ask and answer questions by collecting, organizing, and displaying relevant data, drawing inferences and conclusions, making predictions, and understanding and applying basic concepts of probability.

4.DPS.D: : Data: Learners will represent and interpret data.

4.DPS.D.1: : Formulate questions to collect, organize, and represent data to reason with math and across disciplines.

4.DPS.D.3: : Utilize graphs and diagrams to represent and solve authentic word problems using the four operations involving whole numbers, benchmark fractions, and decimals.

Correlation last revised: 12/17/2024

North Dakota - Mathematics: 4th Grade

Content Standards | Adopted: 2023

4.NO: : Number and Operations: Learners will develop a foundational understanding of the number system, operations, and computational fluency to create connections and solve problems within and across concepts.

4.AR: : Algebraic Reasoning: Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adopting approaches and solutions in novel situations.

4.GM: : Geometry and Measurement: Learners will use visualization, spatial reasoning, geometric modeling, and measurement to investigate the characteristics of figures, perform transformations, and construct logical arguments.

4.DPS: : Data, Probability, and Statistics: Learners will ask and answer questions by collecting, organizing, and displaying relevant data, drawing inferences and conclusions, making predictions, and understanding and applying basic concepts of probability.