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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.
- The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
- The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
- The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
- The calculus section will carry out differentiation as well as definite and indefinite integration.
- The matrices section contains commands for the arithmetic manipulation of matrices.
- The graphs section contains commands for plotting equations and inequalities.
- The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.
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| x^{\msquare} | \log_{\msquare} | \sqrt{\square} | \nthroot[\msquare]{\square} | \le | \ge | \frac{\msquare}{\msquare} | \cdot | \div | x^{\circ} | \pi | |||||||||||
| \left(\square\right)^{'} | \frac{d}{dx} | \frac{\partial}{\partial x} | \int | \int_{\msquare}^{\msquare} | \lim | \sum | \infty | \theta | (f\:\circ\:g) | f(x) | |||||||||||
| ▭\:\longdivision{▭} | \times \twostack{▭}{▭} | + \twostack{▭}{▭} | - \twostack{▭}{▭} | \left( | \right) | \times | \square\frac{\square}{\square} |
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| x^{\msquare} | \log_{\msquare} | \sqrt{\square} | \nthroot[\msquare]{\square} | \le | \ge | \frac{\msquare}{\msquare} | \cdot | \div | x^{\circ} | \pi | |||||||||||
| \left(\square\right)^{'} | \frac{d}{dx} | \frac{\partial}{\partial x} | \int | \int_{\msquare}^{\msquare} | \lim | \sum | \infty | \theta | (f\:\circ\:g) | f(x) | |||||||||||
| - \twostack{▭}{▭} | \lt | 7 | 8 | 9 | \div | AC |
| + \twostack{▭}{▭} | \gt | 4 | 5 | 6 | \times | \square\frac{\square}{\square} |
| \times \twostack{▭}{▭} | \left( | 1 | 2 | 3 | - | x |
| ▭\:\longdivision{▭} | \right) | . | 0 | = | + | y |
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Free Math Worksheets — Over 100k free practice problems on Khan Academy
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Frequently Asked Questions about Khan Academy and Math Worksheets
Why is khan academy even better than traditional math worksheets.
Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.
| Math Worksheets | Khan Academy |
|---|---|
| Math worksheets take forever to hunt down across the internet | Khan Academy is your one-stop-shop for practice from arithmetic to calculus |
| Math worksheets can vary in quality from site to site | Every Khan Academy question was written by a math expert with a strong education background |
| Math worksheets can have ads or cost money | Khan Academy is a nonprofit whose resources are always free to teachers and learners – no ads, no subscriptions |
| Printing math worksheets use up a significant amount of paper and are hard to distribute during virtual learning | Khan Academy practice requires no paper and can be distributed whether your students are in-person or online |
| Math worksheets can lead to cheating or a lack of differentiation since every student works on the same questions | Khan Academy has a full question bank to draw from, ensuring that each student works on different questions – and at their perfect skill level |
| Math worksheets can slow down student learning since they need to wait for feedback | Khan Academy gives instant feedback after every answer – including hints and video support if students are stuck |
| Math worksheets take up time to collect and take up valuable planning time to grade | Khan Academy questions are graded instantly and automatically for you |
What do Khan Academy’s interactive math worksheets look like?
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Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.
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Common Core Grade 5 Math (Worksheets, Homework, Lesson Plans)
Looking for video lessons that will help you in your Common Core Grade 5 Math classwork or homework? Looking for Common Core Math Worksheets and Lesson Plans that will help you prepare lessons for Grade 5 students?
The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into six modules.
Related Pages Common Core Math Resources, Lesson Plans And Worksheets Common Core Math Video Lessons, Math Worksheets and Games for Grade 5 Common Core Math Video Lessons, Math Worksheets and Games for all grades
Grade 5 Homework, Lesson Plans And Worksheets
| Module 1 Topics and Objectives | ||
|---|---|---|
| Standard: 5.NBT.1, 5.NBT.2, 5.MD.1 Days: 4 : Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths. ( ) : Reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths. ( ) : Use exponents to name place value units and explain patterns in the placement of the decimal point. ( ) : Use exponents to denote powers of 10 with application to metric conversions. ( ) | ||
| Standard: 5.NBT.3 Days: 2 : Name decimal fractions in expanded, unit, and word forms by applying place value reasoning. ( ) : Compare decimal fractions to the thousandths using like units and express comparisons with >, <, =. ( ) | ||
| Standard: 5.NBT.4 Days: 2 , : Round a given decimal to any place using place value understanding and the vertical number line. ( ) ( ) | ||
| : Topics A-C (assessment ½ day, return ½ day, remediation or further applications 1 day) | ||
| Standard: 5.NBT.2, 5.NBT.3, 5.NBT.7 Days: 2 : Add decimals using place value strategies and relate those strategies to a written method. ( ) : Subtract decimals using place value strategies and relate those strategies to a written method. ( ) | ||
| Standard: 5.NBT.1, 5.NBT.3, 5.NBT.7 Days: 2 : Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used. ( ) : Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point. ( ) | ||
| Standard: 5.NBT.3, 5.NBT.7 Days: 4 : Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method. ( ) : Divide decimals with a remainder using place value understanding and relate to a written method. ( ) : Divide decimals using place value understanding including remainders in the smallest unit. ( ) : Solve word problems using decimal operations. ( ) | ||
| : Topics A-F (assessment ½ day, return ½ day, remediation or further applications 1 day) | ||
| Module 2 Topics and Objectives | ||
|---|---|---|
| Standard: 5.NBT.1, 5.NBT.2, 5.OA.1 Days: 2 : Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties. ( ) : Estimate multi-digit products by rounding factors to a basic fact and using place value patterns. ( ) | ||
| Standard: 5.OA.1, 5.OA.2, 5.NBT.5 Days: 7 : Write and interpret numerical expressions and compare expressions using a visual model. ( ) : Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication. ( ) : Connect visual models and the distributive property to partial products of the standard algorithm without renaming. ( ) :Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming. ( ) : Connect area diagrams and the distributive property to partial products of the standard algorithm with renaming. ( ) : Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product. ( ) : Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems. ( ) | ||
| Standard: 5.NBT.7, 5.OA.1, 5.OA.2, 5.NBT.1 Days: 3 : Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products. ( ) : Multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal. ( ) : Reason about the product of a whole number and a decimal with hundredths using place value understanding and estimation. ( ) | ||
| Standard: 5.NBT.7, 5.NBT.7, 5.MD.1 Days: 3 : Use whole number multiplication to express equivalent measurements. ( ) : Use decimal multiplication to express equivalent measurements. ( ) : Solve two-step word problems involving measurement and multi-digit multiplication. ( ) | ||
| : Topics A-D (assessment ½ day, return ½ day, remediation or further applications 2 days) | ||
| Standard: 5.NBT.1, 5.NBT.2, 5.NBT.6 Days: 3 : Use patterns for multi-digit whole number division. ( ) , : Use basic facts to approximate quotients with two-digit divisors. ( ) ( ) | ||
| Standard: 5.NBT.6 Days: 5 : Divide two- and three-digit dividends by multiples of 10 with single-digit quotients and make connections to a written method. ( ) : Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. ( ) : Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. ( ) , : Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value. ( ) ( ) | ||
| Standard: 5.NBT.2, 5.NBT.7 Days: 4 : Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method. ( ) : Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point. ( ) , : Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method. ( ) ( ) | ||
| Standard: 5.NBT.6, 5.NBT.7 Days: 2 , : Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. ( ) ( ) | ||
| : Topics A-H (assessment ½ day, return ½ day, remediation or further application 2 days) | ||
| Module 3 Topics and Objectives | ||
|---|---|---|
| Standard: 5.NF.1, 5.NF.3 Days: 2 : Make equivalent fractions with the number line, the area model, and numbers. ( ) : Make equivalent fractions with sums of fractions with like denominators. ( ) | ||
| Standard: 5.NF.1, 5.NF.2 Days: 5 : Add fractions with unlike units using the strategy of creating equivalent fractions. ( ) : Add fractions with sums between 1 and 2. ( ) : Subtract fractions with unlike units using the strategy of creating equivalent fractions. ( ) : Subtract fractions from numbers between 1 and 2. ( ) : Solve two-step word problems. ( ) | ||
| : Topics A-B (assessment ½ day, return ½ day, remediation or further applications 2 day) | ||
| Standard: 5.NF.1, 5.NF.2 Days: 5 : Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies. ( ) : Add fractions making like units numerically. ( ) : Add fractions with sums greater than 2. ( ) : Subtract fractions making like units numerically. ( ) : Subtract fractions greater than or equal to one ( ) | ||
| Standard: 5.NF.1, 5.NF.2 Days: 4 : Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations. ( ) : Strategize to solve multi-term problems. ( ) : Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers. ( ) : Explore part to whole relationships. ( ) | ||
| : Topics C-D (assessment ½ day, return ½ day, remediation or further applications 2 day) | ||
| Module 4 Topics and Objectives | ||
|---|---|---|
| Standard: 5.MD.2 Days: 1 : Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch, and analyze the data through line plots. ( ) | ||
| Standard: 5.NF.3 Days: 4 , : Interpret a fraction as division. ( )( ) : Use tape diagrams to model fractions as division. ( ) : Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers. ( ) | ||
| Standard: 5.NF.4a Days: 4 : Relate fractions as division to fraction of a set. ( ) : Multiply any whole number by a fraction using tape diagrams. ( ) : Relate fraction of a set to the repeated addition interpretation of fraction multiplication. ( ) : Find a fraction of a measurement, and solve word problems. ( ) | ||
| Standard: 5.OA.1, 5.OA.2, 5.NF.4a, 5.NF.6 Days: 3 : Compare and evaluate expressions with parentheses. ( ) , : Solve and create fraction word problems involving addition, subtraction, and multiplication. ( ) | ||
| : Topics A-D (assessment ½ day, return ½ day, remediation or further applications 1 day) | ||
| Standard: 5.NBT.7, 5.NBT.4a, 5.NF.6, 5.MD.1 Days: 8 : Multiply unit fractions by unit fractions. ( : Multiply unit fractions by non-unit fractions. ( ) : Multiply non-unit fractions by non-unit fractions. ( ) : Solve word problems using tape diagrams and fraction-by-fraction multiplication. ( ) , : Relate decimal and fraction multiplication. ( ) : Convert measures involving whole numbers, and solve multi-step word problems. ( ) : Convert mixed unit measurements, and solve multi-step word problems. ( ) | ||
| Standard: 5.NF.5, 5.NF.6 Days: 4 : Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. ( ) , : Compare the size of the product to the size of the factors. ( ) : Solve word problems using fraction and decimal multiplication. ( ) | ||
| Standard: 5.OA.1, 5.NBT.7, 5.NF.7 Days: 7 : Divide a whole number by a unit fraction. ( ) : Divide a unit fraction by a whole number. ( ) : Solve problems involving fraction division. ( ) : Write equations and word problems corresponding to tape and number line diagrams. ( ) : Connect division by a unit fraction to division by 1 tenth and 1 hundredth. ( ) , : Divide decimal dividends by non-unit decimal divisors. ( )( ) | ||
| Standard: 5.OA.1, 5.OA.2 Days: 2 : Interpret and evaluate numerical expressions including the language of scaling and fraction division. ( ) : Create story contexts for numerical expressions and tape diagrams, and solve word problems. ( ) | ||
| : Topics A-H (assessment ½ day, return ½ day, remediation or further applications 2 days) | ||
| Module 5 Topics and Objectives | ||
|---|---|---|
| Standard: 5.MD.3, 5.MD.4 Days: 3 : Explore volume by building with and counting unit cubes. ( ) : Find the volume of a right rectangular prism by packing with cubic units and counting.( ) : Compose and decompose right rectangular prisms using layers. ( ) | ||
| Standard: 5.MD.3, 5.MD.5 Days: 6 : Use multiplication to calculate volume. ( ) : Use multiplication to connect volume as with volume as . ( ) : Find the total volume of solid figures composed of two non-overlapping rectangular prisms. ( ) : Solve word problems involving the volume of rectangular prisms with whole number edge lengths. ( ) , : Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters. ( ) | ||
| : Topics A-B (assessment 1 day, return ½ day, remediation or further applications ½ day) | ||
| Standard: 5.NF.4b, 5.NF.6 Days: 6 : Find the area of rectangles with whole-by-mixed and whole-by-fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication. ( ) : Find the area of rectangles with mixed-by-mixed and fraction-by-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication. ( ) : Measure to find the area of rectangles with fractional side lengths. ( ) : Multiply mixed number factors, and relate to the distributive property and the area model. ( ) , : Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations. ( ) ( ) | ||
| Standard: 5.G.3, 5.G.4 Days: 6 : Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes. ( ) : Draw parallelograms to clarify their attributes, and define parallelograms based on those attributes. ( ) : Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes. ( ) : Draw kites and squares to clarify their attributes, and define kites and squares based on those attributes. ( ) : Classify two-dimensional figures in a hierarchy based on properties. ( ) : Draw and identify varied two-dimensional figures from given attributes. ( ) | ||
| : Topics A-D (assessment 1 day, return ½ day, remediation or further applications ½ day) | ||
| Module 6 Topics and Objectives | ||
|---|---|---|
| Standard: 5.G.1 Days: 6 : Construct a coordinate system on a line. ( ) : Construct a coordinate system on a plane. ( ) , : Name points using coordinate pairs, and use the coordinate pairs to plot points. ( ) , : Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes. ( )( ) | ||
| Standard: 5.OA.2, 5.OA.3, 5.G.1 Days: 6 : Plot points, use them to draw lines in the plane, and describe patterns within the coordinate pairs. ( ) : Generate a number pattern from a given rule, and plot the points. ( ) : Generate two number patterns from given rules, plot the points, and analyze the patterns. ( ) : Compare the lines and patterns generated by addition rules and multiplication rules. ( ) : Analyze number patterns created from mixed operations. ( ) : Create a rule to generate a number pattern, and plot the points.( ) | ||
| : Topics A-B (assessment 1 day, return 1 day, remediation or further applications 1 day) | ||
| Standard: 5.G.1, 5.G.2 Days: 5 : Construct parallel line segments on a rectangular grid. ( ) : Construct parallel line segments, and analyze relationships of the coordinate pairs. ( ) : Construct perpendicular line segments on a rectangular grid. ( ) : Construct perpendicular line segments, and analyze relationships of the coordinate pairs. ( ) : Draw symmetric figures using distance and angle measure from the line of symmetry. ( ) | ||
| Standard: 5.OA.3, 5.G.2 Days: 3 : Draw symmetric figures on the coordinate plane. ( ) : Plot data on line graphs and analyze trends.( ) : Use coordinate systems to solve real world problems. ( ) | ||
| : Topics A-D (assessment 1 day, return 1 day, remediation or further applications 1 day) | ||
| Standard: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7c, 5.MD.1, 5.MD.5, 5.G.2 Days: 5 , , , , : Make sense of complex, multi-step problems and persevere in solving them. Share and critique peer solutions. ( ) | ||
| Days: 9 , : Solidify writing and interpreting numerical expressions. ( ) : Solidify fluency with Grade 5 skills. , : Solidify the vocabulary of geometry. ( ) : Explore the Fibonacci sequence. : Explore patterns in saving money. ( ) , : Design and construct boxes to house materials for summer use. ( ) | ||
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Algebra Worksheets
Free worksheets with answer keys.
Enjoy these free printable sheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
- Distance Formula
- Equation of Circle
- Factor Trinomials Worksheet
- Domain and Range
- Mixed Problems on Writing Equations of Lines
- Slope Intercept Form Worksheet
- Standard Form Worksheet
- Point Slope Worksheet
- Write Equation of Line from the Slope and 1 Point
- Write Equation of Line from Two Points
- Equation of Line Parallel to Another Line and Through a Point
- Equation of Line Perpendicular to Another Line and Through a Point
- Slope of a Line
- Perpendicular Bisector of Segment
- Write Equation of Line Mixed Review
- Word Problems
- Multiplying Monomials Worksheet
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ME 274: Basic Mechanics II
Homework h1.j - fa24.
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DISCUSSION THREAD
Ask or answer questions here. You can learn from either.
DISCUSSION and HINTS Since the cable does not stretch (R_dot = R_ddot = 0), an observer on aircraft A will see a circular path for B, although the true path of B is more complicated than that. Since θ_dot = constant, then θ_ddot = 0.
It is recommended that you write down the relative motion kinematics equations relating the motions of A and B:
v B = v A + v B/A a B = a A + a B/A
and use a set of polar coordinates to describe v B/A and a B/A :
v B/A = R_dot* e R + R*theta_dot* e θ = R*theta_dot* e θ a B/A = (R_ddot - R*theta_dot^2)* e R + (R*theta_ddot +2*R_dot*theta_dot)* e θ = - R*theta_dot^2* e R
5 thoughts on “Homework H1.J - Fa24”
Since velocity and accleration for a are given on the x axis, do we need to convert them to the polar coordinates before we can add them to the vB/A expression?
I would recommend converting the polar coordinates from vB/A to i and j to find the velocity of the glider.
Also, is there a reason why the angle is in degrees and the change in angle is in radians per second?
It's given in rad/s because that's how you would convert an angular velocity to velocity (rather than some degrees per second)
Does it matter if our final answer is in polar or cartesian?
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Problem statement Solution video: DISCUSSION THREAD. Ask or answer questions here. You can learn from either. DISCUSSION and HINTS ... Previous Post Homework H1.G - Fa24 Next Post Homework H1.I - Fa24. 5 thoughts on "Homework H1.J - Fa24" Nicholas Emge says: August 28, 2024 at 9:40 pm.
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